Question

A pump fills a pool at a constant rate. At the end of 44 minutes it has filled 11 gallon of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool?

Answer 1

To determine the relationship between the number of minutes and the number of gallons of water in the pool, we first need to find the rate at which the pump fills the pool.

Given:
- Time = 44 minutes
- Gallons = 11 gallons

To find the rate of filling, we divide the number of gallons by the number of minutes:

\[
\text{Rate} = \frac{11 \text{ gallons}}{44 \text{ minutes}} = \frac{11}{44} = \frac{1}{4} \text{ gallons per minute}
\]

Now we can create a table that illustrates the relationship between the time in minutes and the gallons of water filled in the pool.

| Minutes | Gallons |
|---------|---------|
| 0 | 0 |
| 4 | 1 |
| 8 | 2 |
| 12 | 3 |
| 16 | 4 |
| 20 | 5 |
| 24 | 6 |
| 28 | 7 |
| 32 | 8 |
| 36 | 9 |
| 40 | 10 |
| 44 | 11 |

This table shows how the number of gallons increases by 1 gallon for every 4 minutes, which corresponds to the rate of \(\frac{1}{4}\) gallons per minute.

You can use this table to represent the relationship between time and gallons for the given situation.