Question

Joaquin has a total of 12 1/2 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?

A. 52; Hours of football practice
B. 12.5; Days of the school week
C. 52; Days of the school week
D. 12.5; Hours of football practice

Answer 1

The constant of proportionality in the equation y = 52x represents the number of hours of football practice per day in this problem.

Step-by-step explanation:

The constant of proportionality in the equation y = 52x represents the number of hours of football practice per day in this problem.

To find the constant of proportionality, we can divide the total hours of football practice (12 1/2) by the number of days in the week (5):

Constant of proportionality = Total hours of football practice / Number of days in the week = 12 1/2 / 5 = 2 1/2 = 2.5 hours

Therefore, option A: 52; Hours of football practice, is the correct answer. The constant of proportionality represents the number of hours of football practice per day.