Question

Find the number of minutes after which the two pool will have the same amount of water.

Answer 1

After 30.2 minutes, the two pools will have the same amount of water.

Step-by-step explanation:

(a)The general structure of the equation is that of a linear function:

`y=mx+b`

(b)

Variable Definition

Let the amount of water in the pool after m minutes = y

Let the number of minutes the pool has been drained = m

Left-Side Expression:

Mr Zoetrope's pool has 10,858 gallons and is draining 150 gallons per minute.

`\implies y=10,858-150m`

Right-Side Expression:

Mrs Homer's pool has 9,650 gallons and is draining 110 gallons per minute.

`\implies y=9650-110m`

The equation

`10858-150m=9650-110m`

We solve for m.

`\begin{gathered} 10,858-9650=150m-110m \\ 1208=40m \\ m=30.2 \end{gathered}`

After 30.2 minutes, the two pools will have the same amount of water.