Question

1. a tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. at the same time, an empty pool is filled with water at a rate of 480 gallons per hour.

which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

options:

• (1,060 + 35x > 480x)
• (1,060 - 35x > 480x)
• (1,060 - 35x < 480x)
• (1,060 + 35x < 480x)

Explanation:

Step1: Analyze tank's water

The tank starts with 1,060 gallons and loses 35 gallons per hour. So after \( x \) hours, tank's water is \( 1060 - 35x \).

Step2: Analyze pool's water

The pool starts empty and fills at 480 gallons per hour. So after \( x \) hours, pool's water is \( 480x \).

Step3: Set up inequality

We need when tank has less water than pool: \( 1060 - 35x < 480x \).

Answer:

\( 1,060 - 35x < 480x \) (the third option)