(PLEASE HELP! I WILL MARK BRAINIEST IF YOU GET IT RIGHT!) :< Summer is thinking about buying a car for $45,000. 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) 40,500 36,450 32,805
Car 2 (value in dollars) 42,000 39,000 36,000

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: Summer wants to purchase a car that would have the greatest value in 13 years. Will there be any significant difference in the value of either car after 13 years? Explain your answer, and show the value of each car after 13 years. (4 points)

car 1 should be bought.

Step-by-step explanation:

Part A:

The decline in the value of the first car is represented by an exponential function, since it does not have a constant rate of decrease as in the case of a linear function. The second car's depreciation in value may be modeled by a linear equation due to the constant difference between the yearly value.

Part B:

Let the function for car 1 be:

New value = original value * (depreciation factor)^x. For x = 1:

Depreciation factor = new value / original value

Depreciation factor = 40,500 / 45,000

Depreciation factor = 0.9

For car 1:

f(x) = 45,000(0.9)^x

For car 2:

Yearly decrease in value is $3,000, so:

f(x) = 45,000 - 3,000x

Part C:

We plug in 14 for x in both of our equations to find the value after 14 years of each car.

Car 1:

f(14) = 45,000(0.9)^14

f(14) = $10,294.56

Car 2:

f(14) = 45,000 - 3,000(14)

f(14) = $3,000

so car 1 should be bought.

y do u put "subscirbe to ence" on a app for ppl who need with their work?