Question

Joaquin has a total of 1212 hours of football practice in a five day school week. The equation y=52x can be used to represent the situation. What is the constant of proportionality and what does it represent in the context of the problem?

Answer 1

The constant of proportionality is 52, which supposedly represents the daily hours of practice; however, there seems to be an inconsistency as calculating the daily hours results in an unrealistic number.

Step-by-step explanation:

The equation y=52x suggests that for each hour of football practice, there is a corresponding number of hours (y) that Joaquin has. Here, 52 is the constant of proportionality, and it represents the number of hours of practice Joaquin has each day given that he practices for five days. To find out how many hours Joaquin practices a day, you can divide the total hours of practice by the number of days: 1212 hours ÷ 5 days = 242.4 hours per day. This doesn’t align with the constant of proportionality given in the equation, which may indicate a typo or mistake in the initial problem statement, as the number of practice hours per day exceeds realistic limits.