Question

Baxter is thinking about buying a car for $18,500. The table below shows the projected value of two different cars for three years.

Number of years 1 2 3
Car 1 (value in dollars) 17,390 16,346.60 15,365.80
Car 2 (value in dollars) 17,500 16,500 15,500

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Baxter wants to purchase a car that would have the greatest value in 9 years. Will there be any significant difference in the value of either car after 9 years? Explain your answer, and show the value of each car after 9 years. (4 points)

Answer 1

Part a: is a Linear function

Part B: Y=1000×X + 19463 Y = -1076.7×X + 19602

Part c: Car #1 will be worth 628$ more than car 2 after 10 years

Answer 2

Thank you! Do you think you could explain your answers for Part A and Part C?

Answer 3

Part C-Car #1 Y = -1,000×X + 19,463, Y = 10×-1000 + 19,463 = 9,463
Car #2 Y = X×-1076.7 + 19602, Y = -1076.7×10 + 19,602 = 8,835

Part A-You have to form a plot of the data, the linear function is the values of both the cars after the fixed number.

Answer 4

OK Thank you so much!!! Is there anything i can help you with?

Answer 5

Nah i'm good thanks for offering tho just glad i could help :)

Answer 6

OK:))