Question

while being deflated, a hot - air balloon loses 300 cubic meters of air every 3 minutes. after 6 minutes the balloon has 900 cubic meters of air. the volume of the air in cubic meters, y, is a function of the time in minutes, x. you can write an equation to represent the function. describe the rate of change. the rate of change is? because the amount of air in the balloon? over time.

Explanation:

Step1: Calculate rate of change

The balloon loses 300 cubic meters every 3 minutes. So rate of change (slope) is $\frac{-300}{3} = -100$ cubic meters per minute. The negative sign indicates decrease.

Step2: Analyze the change

Since the balloon is deflating, the amount of air (volume) is decreasing over time.

Answer:

The rate of change is $\boldsymbol{-100}$ cubic meters per minute because the amount of air in the balloon $\boldsymbol{decreases}$ over time.