Question: (01). The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) 1 3 0 0 1 3 g(x)

(01).

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
1 3
0 0
1 3

g(x)

g(x) = 7x + 2

Part A: Sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

(02)

The table below represents the displacement of a turtle from its nest as a function of time:

Time (hours) x Displacement from nest (miles) y
0 5
1 27
2 49
3 71
4 93

Part A: What is the y-intercept of the function, and what does this tell you about the turtle?

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.

Part C: What would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest?

(03)

Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.

Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours.

Part B: the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

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