Question

The table below shows the value in dollars of a car at the end of x years.

Number of years (x) 0 1 2 3
Value in dollars, v(x) 11,000 9,350 7,948 6,755


Which exponential function models the situation?

(1 point)
Responses

y=11000(1.15)x
y is equal to 11000 times 1 point 1 5 to the x th power

y=0.85(11000)x
y is equal to 0 point 8 5 times 11000 to the x th power

y=1.15(11000)x
y is equal to 1 point 1 5 times 11000 to the x th power

y=11000(0.85)x
y is equal to 11000 times 0 point 8 5 to the x th power

Answer 1

y = 11000(0.85)^x

Reason: v(0)=11000, and the yearly factor is 9350/11000 = 0.85 (and 7948/9350 ≈ 0.85), so v(x)=11000·(0.85)^x.