Question

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 31 liters per minute. There are

500 liters in the pond to start.

Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has
been added. Write an equation relating W to T. Then use this equation to find the total amount of water after 13 minutes.

Answer 1

`W=31T+500`,

903 liters

Explanation:

Multiply the total number of minutes, T, with 31 liters per minute, to get 31T liters. Then add the initial 500 liters. So
`W=31T+500.`

Substituting T=13 in the equation above results in

`\begin{aligned}\\W&=31T+500\\&=31(13)+500\\&=403+500\\&=903.\end{aligned}`

Hence, there are 903 liters after 13 minutes.