Question

The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. In 2016, there were 3,400 acres of undeveloped land. If t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?
A)900 = 3,400(1.173)t

B)900 = 3,400(0.827)t

C)3,400 = 900(0.173)t

D)3,400 = 900(0.9827)t

Answer 1

Decreasing by 17.3 percent means every year it's multiplied by 1-0.173 =0.827.

$900 = 3400 (0.827^t)$

Choice B

Answer 2

Answer: d for plato users