Question

Josslyn's workout consists of swimming and practicing yoga. While swimming she burns 7 calories per minute, and while practicing yoga she burns 5 calories per minute. Josslyn wants to burn at least 500 calories each day.

Let x be the number of minutes she spend swimming and let y be the number of minutes she spends practicing yoga. Write an inequality that models this situation.

Answer 1

Explanation:

Josslyn burns 7 calories per minute while swimming and 5 calories per minute while practicing yoga. Let x be the number of minutes she spends swimming and y be the number of minutes she spends practicing yoga.

The total number of calories burned, C, is given by:

C = 7x + 5y

To burn at least 500 calories each day, we can write the inequality:

7x + 5y ≥ 500

This inequality states that the total number of calories burned from swimming and practicing yoga, 7x + 5y, must be greater than or equal to 500. Josslyn can achieve this goal by spending a combination of x minutes swimming and y minutes practicing yoga.