Question

The water level is receding in the cape fear river at a rate of 25ft per day. The water level is at 45ft. (A) write an equation (B) what is the height of the river after 10 days

Answer 1

Step-by-step explanation:

A)

We know that the water level is decreasing by 25 ft per day. This means that -25x would be the first part of the equation.

We also know that the water level starts at 45 ft when x=0.

Given this information, we can create an equation as follows

$f(x)=-25x+45$

B)

Now that we have our equation, we can plug in 10 for x in order to find the height of the river

$f(10)=-25(10)+45\\\\f(10)=-250+45\\\\f(10)=-205$

This means that after 10 days, the height of the river is -205 ft.