Question

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?

A. 45x + 30y > 450
x + y < 10

B. 45.1 + 30y > 450
x + y < 10

C. 45x + 30y > 450
10y < 10

D. 301 + 45y > 450
10y < 10

Answer 1

The system of inequalities that can be used to determine the number of drill-based workouts and conditioning workouts Gianna can complete this week is 45x + 30y > 450 and x + y ≤ 10, option A.

Step-by-step explanation:

To determine the number of drill-based workouts (x) and the number of conditioning workouts (y) that Gianna can complete this week, we can set up a system of inequalities using the given information. Let's represent the number of drill-based workouts as x and the number of conditioning workouts as y.

According to the schedule, Gianna can complete at most 10 workouts this week. So, we have the inequality: 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. So, we have the inequality: 45x + 30y > 450

Therefore, the correct system of inequalities to determine the number of drill-based workouts (x) and the number of conditioning workouts (y) that Gianna can complete this week is:

A. 45x + 30y > 450

x + y ≤ 10