Question

Bruno listens to podcasts for

two and a half hours a day.
Write an equation where x is
the number of days and y is
the total number of hours.
What is the constant of
proportionality?
In the problem above, how
many hours will Bruno have
listened after 12 days?

Answer 1

The equation relating the number of days and the total number of hours is y = 2.5x. Bruno will have listened to 30 hours of podcasts after 12 days.

Step-by-step explanation:

To find the equation that relates the number of days (x) and the total number of hours (y), we need to consider that Bruno listens to podcasts for two and a half hours a day. Since the number of hours Bruno listens each day is constant, we can write the equation as: y = 2.5x. The constant of proportionality in this case is 2.5.

To calculate how many hours Bruno will have listened after 12 days, we substitute x with 12 in the equation: y = 2.5(12) = 30. Therefore, Bruno will have listened to 30 hours of podcasts after 12 days.

Learn more about Equations relating time and the number of days and finding the total number of hours