Question

Jay has a 132 gallon water tank. He fills the tank with a garden hose at a rate of 8.2 gallons per minute. There are 9 gallons of water in the tank. Write an inequality that would b calculate the maximum amount of time he could add water without causing the tank to overflow. (Use x as your variable.

Answer 1

Answer: 15 minutes.

Explanation:

To calculate the maximum amount of time Jay could add water to the tank without causing it to overflow, we need to determine the amount of water the tank can hold and compare it to the rate at which water is being added.

Given:

- Total capacity of the tank: 132 gallons

- Rate at which water is being added: 8.2 gallons per minute

- Initial amount of water in the tank: 9 gallons

Let's use "x" as the variable representing the time (in minutes) Jay can add water without causing overflow.

To calculate the maximum amount of time, we need to find the point at which the tank is completely filled. This means the amount of water added over time (8.2x) plus the initial amount of water (9) should not exceed the total capacity of the tank (132).

Therefore, we can write the inequality as:

8.2x + 9 ≤ 132

Now, let's solve for x:

8.2x ≤ 132 - 9

8.2x ≤ 123

Divide both sides of the inequality by 8.2 to isolate x:

x ≤ 123 ÷ 8.2

x ≤ 15

So, Jay can add water without causing overflow for a maximum of 15 minutes.