Question

The population of a small town behaves according to the function f(x)=7000(0. 98) x

. At what rate is the population decaying? The population is decaying at a rate of 70,000 per period. The population is decaying at a rate of 2%. The population is decaying at a rate of 98%. This does not model a decay

Answer 1

The population shrinks by 2% every year.

Explanation:

"f(x) = 7000(0.98)x" doesn't appear to be correct:

I'll use instead f(x) = 7000*(0.98)^x

This tells us that the population is 7,000 at year 0.

f(0) = 7000*(0.98)^0 f(0) = 7000

It also tells us that the population shrinks by 2% (1-0.02 = 0.98) every year ((0.98)^x)