Question

Ramona's lemonade pitcher holds 32 ounces of lemonade, but it has a crack and leaks lemonade at a rate of 3 ounces per minute. What is the approximate value of the x-intercept and what does it mean for the situation?

Answer 1

The approximate value of the x-intercept is 10.67 minutes, which represents the time it takes for the pitcher to be completely empty. Therefore, the approximate value of the x-intercept is 32/3 = 10.67 minutes. This means that after approximately 10.67 minutes, the pitcher will be completely empty.

Step-by-step explanation:

In this situation, the x-intercept represents the amount of time it takes for the pitcher to be completely empty, or when the amount of lemonade remaining is zero. Since the pitcher initially holds 32 ounces of lemonade and leaks at a rate of 3 ounces per minute, we can determine the approximate value of the x-intercept by dividing the initial amount of lemonade by the rate of leakage.

Therefore, the approximate value of the x-intercept is 32/3 = 10.67 minutes. This means that after approximately 10.67 minutes, the pitcher will be completely empty.