Question

Jackson is on a new exercise regimen. To begin, his trainer does not want him to complete more than a total of 27 lunges and sit-ups. For every lunge that he completes, Jacob burns 30 calories. He burns an additional 20 calories for every sit-up. His goal is to burn at least 620 calories during a workout session. Which is a combination of lunges and sit-ups that Jacob can complete in a session? (3 points)

a.7 lunges and 19 sit-ups
b.11 lunges and 15 sit-ups
c.10 lunges and 14 sit-ups
d.12 lunges and 19 sit-ups

Answer 1

Jacob can complete 12 lunges and 19 sit-ups in a session to burn at least 620 calories.

Step-by-step explanation:

To find a combination of lunges and sit-ups that Jacob can complete in a session and burn at least 620 calories, we can set up a system of equations. Let L represent the number of lunges and S represent the number of sit-ups. The total number of lunges and sit-ups cannot exceed 27, so we have the inequality:

L + S ≤ 27

The number of calories burned from lunges is 30 times the number of lunges (30L) and the number of calories burned from sit-ups is 20 times the number of sit-ups (20S). The total number of calories burned is 620, so we have the equation:

30L + 20S = 620

We can solve this system of equations by substitution or elimination. Checking the answer choices, we find that option d, 12 lunges and 19 sit-ups, satisfies both the inequality and the equation. Therefore, Jacob can complete 12 lunges and 19 sit-ups in a session to burn at least 620 calories.