Question

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,500 - 225x Which statements about the situation are true? Check all that apply.

The water level is rising.
The water level is falling.
The initial level of water in the pool was 3,500 units.
The initial level of water in the pool was 225 units.
The pool was empty after 14 hours.
The water was 2,600 units high after 4 hours.

Answer 1

B,c,f

Explanation:

Answer 2

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Explanation:

The given function that models the water level is

`f(x)=3,500-225x`

where
`x` represents time in hours.

The function represents a straight line that has slope
`m=-225`

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put
`x=0` into the function.

`f(0)=3,500-225(0)`

`f(0)=3,500`, hence the initial level is 3,500.

To determine the level of water in the pool after 14 hours, we put
`x=14` into the equation to get;

`f(14)=3,500-225(14)`

`f(14)=3,500-3150`

`f(14)=350`

To determine the water level after 4 hours we put
`x=4`

`f(4)=3,500-225(4)`

`f(4)=3,500-900`

`f(14)=2,600`