MT 2 LT 2 - Create and Solve Linear Function Extra Practice Flashcards

Question 1

Y-Intercept = (0,-467)
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the y-intercept of this function in context of the situation it represents.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Determine how far away from Aberdeen you are if you have been traveling for 2.5 hours.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the x-intercept as an ordered pair (x,y).
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the y-intercept as an ordered pair (x,y).

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the y-intercept as an ordered pair (x,y).

Question 2

X-Intercept = (6.2,0)
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Determine an appropriate domain and range for this function. Write your answer as an inequality.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the rate of change in context of the situation it represents.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the x-intercept means in context.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the x-intercept as an ordered pair (x,y).

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the x-intercept as an ordered pair (x,y).

Question 3

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Write a linear function that describes the distance in miles D(t) that you are away from Aberdeen as a function of time in hours, t, which you have been traveling.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Graph your linear function with an appropriate label and scale.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Looking at the graph, state the appropriate domain and range for this function.

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.

Question 4

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Use your graphing calculator to graph this function. Sketch the graph using an appropriate label and scale.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After 4 minutes, how far below the surface of the water will the submarine be?
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the rate of change in context of the situation it represents.

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Use your graphing calculator to graph this function. Sketch the graph using an appropriate label and scale.

Question 5

After 6.2 minutes, the submarine will be at the surface of the water (0 minutes).
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Determine how long you have been traveling (in hours) if you are 100 miles away from Aberdeen.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the x-intercept of this function in context of the situation it represents.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the x-intercept means in context.

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the x-intercept means in context.

Question 6

The submarine started 467 meters below the surface of the water at 0 minutes.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the y-intercept means in context.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the x-intercept means in context.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Looking at the graph, state the appropriate domain and range for this function.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the x-intercept of this function in context of the situation it represents.

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the y-intercept means in context.

Question 7

167 meters
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the x-intercept of this function in context of the situation it represents.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Write a linear function that describes the distance in miles D(t) that you are away from Aberdeen as a function of time in hours, t, which you have been traveling.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After 4 minutes, how far below the surface of the water will the submarine be?

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After 4 minutes, how far below the surface of the water will the submarine be?

Question 8

4.2 minutes
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the Window Values (x-min, x-max, x-scl, y-min, y-max, y-scl) for this graph.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the x-intercept means in context.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After how many minutes will the submarine have a position of -150 meters?
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After 4 minutes, how far below the surface of the water will the submarine be?

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

After how many minutes will the submarine have a position of -150 meters?

Question 9

Domain: 0 <= x <= 6.2
Range: -467 <= y <= 0
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Determine how far away from Aberdeen you are if you have been traveling for 2.5 hours.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the rate of change in context of the situation it represents.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Write a sentence explaining what the y-intercept means in context.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Looking at the graph, state the appropriate domain and range for this function.

Accepted Answer

Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Looking at the graph, state the appropriate domain and range for this function.

Question 10

D(t) = -71t + 213
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Write a linear function that describes the distance in miles D(t) that you are away from Aberdeen as a function of time in hours, t, which you have been traveling.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Describe the x-intercept of this function in context of the situation it represents.
Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Determine how far away from Aberdeen you are if you have been traveling for 2.5 hours.
Problem Statement: A submarine starts 467 meters below the surface of the ocean. The submarine ascends at 75 meters per minute. This relationship can be modeled by the linear function D(t) = 75t - 467 where D(t) represents the position of the submarine and t is time.

Determine the y-intercept as an ordered pair (x,y).

Accepted Answer

Problem Statement: It is exactly 213 miles from Harrisburg to Aberdeen. It takes you 3 hours to get there traveling by car.

Write a linear function that describes the distance in miles D(t) that you are away from Aberdeen as a function of time in hours, t, which you have been traveling.

MT 2 LT 2 - Create and Solve Linear Function Extra Practice

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