Final answer:
To write the rate as a fraction, set up a proportion: 48 gallons / 14 minutes = x gallons / 1 minute. Cross-multiply and divide to solve for x: 48/14 = 24/7. The rate is 24/7 gallons per minute.
Step-by-step explanation:
To write the rate as a fraction, we need to set up a proportion.
We know that there are 48 gallons in 14 minutes. Let's represent the rate as x gallons per 1 minute.
So our proportion will be: 48 gallons / 14 minutes = x gallons / 1 minute.
To solve this proportion, we can cross-multiply and then divide. Cross-multiplying gives us: 48 * 1 = 14 * x.
Simplifying further, we get: 48 = 14x.
Dividing both sides by 14, we find that x = 48 / 14 = 24 / 7.
Therefore, the rate is 24/7 gallons per minute.