Question

owners of a recreation area are filling a small pond with water they are adding water at a rate of 25 liters per minute there are 400 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 the water has been added write an equation. relating W to T Then use the equation to find the total amount of water after 16 minutes equation:total amount of water after 16 minutes:

Answer 1

Variables

• W: the total amount of water in the pond (in liters)

,

• t: the total number of minutes that the water has been added

The rate of 25 liters per minute means that after 1 minute, 25 liters have been added to the pond. Therefore, after t minutes, 25t liters will be added.

To find the total amount of water, we need to add to the previous amount the 400 liters already present. Then, the total amount of water after t minutes is found by the next equation:

`W=400+25t`

Substituting with t = 16 minutes, we get:

`\begin{gathered} W=400+25\cdot16 \\ W=400+400 \\ W=800 \end{gathered}`

Total amount of water after 16 minutes: 800 liters