Question

choose the correct option to complete each sentence. a swimming pool is filled with 120 gallons of water in 5 hours. which value is the x - value, and which is the y - value? what is the rate of change? the x - value is choose... the y - value is 5 hours the rate of change 120 gallons

Explanation:

Step1: Identify x and y values

In a rate - related context (like filling a pool), the independent variable (x - value) is usually the time, and the dependent variable (y - value) is the amount of water. Here, the time is 5 hours, and the amount of water is 120 gallons. So the x - value is 5 hours and the y - value is 120 gallons.

Step2: Calculate rate of change

The rate of change (which is the slope in a linear relationship) is calculated as $\frac{\text{change in }y}{\text{change in }x}$. So we use the formula $r=\frac{y}{x}$, where $y = 120$ gallons and $x = 5$ hours.
Substitute the values: $r=\frac{120}{5}=24$ gallons per hour.

Answer:

The x - value is 5 hours, the y - value is 120 gallons, and the rate of change is 24 gallons per hour.