Question

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.

Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.

The water is leaking at the rate of gal/min.

Answer 1

The water is leaking at the rate of 0.0625 gal/min.

Explanation:

Rate of change

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

`\displaystyle r=(3\ gallons)/(48\ min)`

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.