Question

Christian purchased a new car. The value of the car is depreciating at a
constant rate of 12% per year. The function V = 18,000(1 - .12)^t can be
used to model the value of the car in dollars after t years.
A. Explain what 18,000 represents in the equation of the function. (2 points)

B. What will be the value of the car in 6 years? (2 points)
C. Christian also considered buying a car that costs $20,000 and depreciates
by 15% each year. Which car will have more value in 6 years? (4 points)

WILL GIVE BRAINLIEST!

Answer 1

18000 represents the price of the new car.

The value of the car in 6 years can be found by substituting 6 for the variable t, as follows:

$V = 18000(1-.12)^6\\V = 18000(0.4644)$

In 6 years, it will be worth around $8359.27.

The equation for the car worth $20000 is this:

$V = 20000(1-.15)^6\\V = 20000(0.3771)$

In 6 years, the other car will be worth $7542.99, so the car worth $18000 will have more value in 6 years.