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. Question 1 Evaluating Functions Use the table to answer the following questions 0 3 6 LO 12 15 18 21 24 27 f(I) 3 6 21 9 18 O 15 24 27 12 Evaluate f(18): f(18) = Determine a when f(x) = 9Question 2 Evaluating Functions The Function fix) is represented below as a graph. Use fix) to answer the following questions -7 -6 -5 -4 -3 -2 -1 4 5 Evaluate f( - 2): A - 2) = Determine x when f(x) = 0 X =. Question 3 Function Evaluation Given the function f(a) = 8x2 + 2x - 3, evaluate each of the following. f(0) = f(3) = f ( - 3) = f (4) = f ( - 2) =Question 6 Linear Application In the year 1986, an investment was worth $35000. In the year 1993, this investment was worth $42000. The value of this investment is increasing V at a rate of Select an answer v Select an answer years Question Help: Video thousand dollars dollars Check Answer dollars per yearQuestion 14 Lake Powell In the year 1998, the surface elevation of Lake Powell was 3845 feet above sea level. In the year 2003, the surface elevation of Lake Powell was 3459 feet above sea level. Interpret the rate of change in this situation. The surface elevation of Lake Powell is decreasing V at a rate of Select an answer v Select an answer feet per year deo feet every 5 years feet years. Question 15 Tuition Costs In 1990, the cost of tuition at a large Midwestern university was $100 per credit hour. In 2004, tuition had risen to $226 per credit hour. Determine a linear function C(@) to represent the cost of tuition as a function of a, the number of years since 1990. C(x) = In the year 2008, tuition will be $ per credit hour. In the year tuition will be $325 per credit hourQuestion 16 A town's population has been growing linearly. In 2003, the population was 69,600 people, and the population has been growing by approximately 3,100 people each year. Write the formula for the function P(x) which represents the population of this town x years after 2003. P(x) = Use this function to determine the population of this town in the year 2018. In 2018, the population will be people.. Question 17 > A city currently has 129 streetlights. As part of an urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. Use this information to complete the following statements. Round to the nearest whole number as needed. The city will have streetlights at the end of 30 weeks. The city will have 187 streetlights at the end of weeks.. Question 18 Linear Application Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from selling b bottles of water is given by the formula P(b) = 1.5b - 280. Interpret the Slope in this situation. Paul's profit is increasing at a rate of Select an answer v Select an answer dollars Question Help: DVideo bottles per dollar dollars per bottle Check Answer bottles. Question 19 Linear Application The function V(x) = 29.4 + 3.8x gives the value (in thousands of dollars) of an investment after x months. Interpret the Slope in this situation. The value of this investment is Select an answer v at a rate of Select an answer v Select an answer years Question Help: D Video dollars per month dollars Check Answer months dollars per year thousand dollars. Question 20 > Linear Application The function E(t) = 3815 - 77.6t gives the surface elevation (in feet above sea level) of Lake Powell t years after 1999. Interpret the Slope in this situation. The surface elevation of Lake Powell is Select an answer v at a rate of Select an answer v Select an answer feet ideo feet in 10 years feet per year yearsQuestion 21 Linear Functions Application Identify the information given to you in the application problem below. Use that information to answer the questions that follow. Round your answers to two decimal places as needed. The function P(n) = 485n - 12610 represents a computer manufacturer's profit P(n) when n computers are sold. Identify the rate of change, and complete the following sentence to explain its meaning in this situation. Rate of Change: The company earns $ per computer sold. Identify the initial value, and complete the following sentence to explain its meaning in this situation. Initial value = If the company sells computers, they will not make a profit. They will lose $ Evaluate P(31). Complete the following sentence to explain the meaning of your answer. The company will earn $ if they sell computers. Find the value of n where P(n) = 18915. Complete the following sentence to explain the meaning of your answer. The company will earn $ if they sell computers.Question 22 Linear Function Application Identify the information given to you in the application problem below. Use that information to answer the questions that follow. Round your answers to two decimal places as needed. Dante is a door to door vacuum salesman. His weekly salary S(v) is given by the linear function S(v) = 490 + 70v, where v is the number of vacuums sold. Complete the following sentence to explain the meaning of the slope in this situation. Dante earns $ per vacuum sold. Complete the following sentence to explain the meaning of the initial value in this situation. If Dante sells vacuums, he will still earns a base salary of $ Evaluate S(44). Complete the following sentence to explain the meaning of your answer. If Dante sells vacuums, he will be paid $ Find the value of v where S(v) = 5040. Complete the following sentence to explain the meaning of your answer. For Dante to earn $ he needs to sell vacuums.Question 23 Linear Functions When a new charter school opened in 1995, there were 320 students enrolled. Write a formula for the function M(), representing the number of students attending this charter school : years after 1995, assuming that the student population: NO = Increased by 28 students per year MO = Decreased by 32 students per year NO) = Increased by 36 students every 2 years NO = Decreased by 24 students every 4 years NO = Remained constant (did not change) Increased by 10 students every semester NO) = (twice each year)Question 1 Give the slope and the y-intercept of the line y = 3: - 4. Make sure the y-intercept is written as an ordered pair. Slope = y-intercept =. Question 2 You started this year with $103 saved and you continue to save $11 per month. Write an equation to model this situation (use m for months and s for savings).Question 3 Which of the following is a graph of y = - 2x + 3? -5 -2 -2O Question 4 Match each linear equation with its graph R G K a Equation Graph Color a. black (K) b. green (G) - v y = 5x + 3 c. blue (B) - v y=1 d. purple (P) T - v U = 9 + 2 e. red (R) - v y=-c+3\fQuestion 8 Sketch a graph of y = - 15| 05 c +2 -4 -1 4 Clear All Draw: .\f. Question 10 After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1700 meters below the surface of the water, and ascend at 60 meters per hour. Note: under the water is a negative number. Write an equation to model this situation (use m for meters and ) for hours).Question 11 Sketch a graph of 6x - 4y = - 4 4 -4 4 Clear All Draw:Question 12 Sketch a graph of 6x = - 4y + 4 4 -B -3 4 Clear All Draw:I Queatiun 13 If Sketch a graph of Ex + _-p = - E by writing the equation in dupeintercept funny = am: + Er 4 i i I I Question 14 > Find the equation of the line with Slope = 3 and passing through ( - 10, - 33). Write your equation in the formy = mx + b. V =. Question 15 Write an equation for the graph below in terms of c 5- V =. Question 16 Find the equation (in terms of x) of the line through the points (-2,-2) and (5,1)Question 17 Find the equation of the line with Slope = 2 and passing through (9,24). Write your equation in the formy = mx + b. 1 =Question 18 Geppetto is a puppet maker. He starts the month with 10 puppets ready to sell, and makes 6 puppets per day. Write an equation to model this situation (use d for days and p for puppets).. Question 25 The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. 1) Find the constant of proportionality, 'k, to 2 decimal places if 735 workers work 8 hours and can produce 71265.6 widgets. K= 2) How many widgets (to the nearest tenth) can be produced by 785 workers in 26 hours? Widgets =