Question

The value of a boat, in dollars, x years after its purchase is represented by the function.

f(x)=10,000(0.73)^x



What is the average decrease in value per year between years 1 and 2?

Answer 1

The correct answer is $1971.

I just took the test and got it right.

Answer 2

Given the function f(x) = 10000(0.73)^x

Where y is The value of a boat, in dollars, x years after its purchase
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329
so the decrease
D = $7300 - $ 5329
D = $ 1971