1. Suppose the value in dollars, V, of a collectible car is a function of the number of years since 1990, n. An Days since release 0 |100 250 approximate linear formula is V = 40,500 +950n. Game Price (5) 55 38 12.50 a. Identify the initial value and growth rate of the function (including units) and write a sentence that explains Calculate the growth rate for the period of days specified below. Use appropriate units in your response the practical meaning of each. i- Days 0 to 100 (0.5 pt) ii. Days 100 to 250 (0.5 pt) Initial value: (0.5 pt) Growth rate: _(0.5 pt) $40,900 is the initial value of the car. 5950 per year b. Is the relationship between date and pricing a linear function? Explain how you know. (1 pt) b. Use the formula to estimate the value of the car in 2020. (1 et) V= $40,500+950(n)= V= $40,500+950(30)= $69,000 for the car in the year 2020. c. Find a formula for the game price, P, in terms of the time in days since the game was released, t. (1 pt) c. Use the formula to determine the year in which the car is worth $61,400. V=40,500+950(n)= 61,400=40,500+950n= d. Use the formula to predict how many days after release the video game would have cost $48.20. (1 pt) 61,400-40,500=950n 20900=950n 20,900/950=950n/950 22=0 Therefore the car would be $61,400 in the year 2012. (1990+22years)= 2012. 2. The graph shows the total labor charge of a plumber for various hours of work. Create a formula that shows the total labor charge, T, as a function of the number of hours worked, n. Show your calculations. Hint: Values within the graph are specific charges. For example, the plumber's total charge for 4 hours of labor is $335. (1 et) e. Use the formula to predict the cost of the game 174 days after release. (1 et 450 400 400 350 335 300 250 . 270 200 205 Total Labor CH 150 140 f. Use the formula to predict the cost of the game 784 days after release. Does this prediction make sense or is this 100 a case of model breakdown? Explain. (1 pt 50 0 1 2 3 5 Hours of Labor