Question

The doctor tells Sasha that she needs to exercise enough to burn at least 5500 calories each day. She prefers kickboxing or running. While kickboxing she burns 30 calories per minute, and while running she burns 21 calories per minute. Let x be the number of minutes she spends kickboxing and let y be the number of minutes she spends running. Write an inequality that models this situation?

Answer 1

The inequality representing the total calories Sasha needs to burn through kickboxing and running, where x is the minutes spent kickboxing and y is the minutes spent running, is 30x + 21y ≥ 5500.

Step-by-step explanation:

The question asks us to write an inequality that models the total number of calories burned by Sasha through kickboxing and running to meet a goal set by her doctor.

If x represents the number of minutes Sasha kickboxes, knowing she burns 30 calories per minute, and y represents the number of minutes she runs, burning 21 calories per minute, her total calorie burn from both activities must be at least 5500 calories. Therefore, the inequality that models this situation is 30x + 21y ≥ 5500.