Question

Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can burn 550 calories per hour. Write an inequality that represents Denise's goal in terms of the number of hours spent running, h.

a) 550h ≥ 5000
b) h ≤ 550/5000
c) 550h ≤ 5000
d) h ≥ 550/5000

Answer 1

Denise's goal of burning at least 5000 calories per week through running can be represented by the inequality 550h ≥ 5000, where h is the number of hours spent running.

Step-by-step explanation:

The question involves writing an inequality to represent a weekly calorie burn goal through running. Since Denise can burn 550 calories per hour, the total calories burnt after h hours will be 550 multiplied by h. Denise wants to burn at least 5000 calories a week. Therefore, the inequality representing Denise's goal is:

550h ≥ 5000

This inequality states that the calories burnt after running for h hours at 550 calories per hour should be greater than or equal to 5000 calories.