Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week.

Which system of inequalities can be used to determine the number of drill-based workouts, x, and the number of conditioning workouts, y, that Gianna can complete this week?

For this case we have the following variables:

x = the number of drill-based workouts

y = the number of conditioning workouts

The system of equations that adapts to the situation is:

"According to her schedule, she can complete at most 10 workouts this week":

x + y < = 10

"It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week"

45x + 30y> 450

Answer:

A system of inequalities can that be used is:

x + y < = 10

45x + 30y> 450