Question

In the summer a large pool evaporates water at 15% per day. If the pool starts out with 25,700 gallons of water, which function models the pool’s loss of water?

Answer 1

`y=25,700(0.85)^(x)`

Explanation:

we know that

In this problem we have a exponential function of the form

`y=a(b)^(x)`

where

y ----> represent the pool’s loss of water

x ----> the number of days

a is the initial value

a=25,700 gal

b ----> is the base

r=15%=15/100=0.15

b=(1-r)=1-0.15=0.85

The function is equal to

`y=25,700(0.85)^(x)`