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

To solve this problem, we need to determine the number of lunges and sit-ups that Jackson can complete within the given constraints. By evaluating the answer options, we find that option d) 12 lunges and 19 sit-ups satisfies the condition, as it burns a total of 620 calories.

Step-by-step explanation:

To solve this problem, we need to determine the number of lunges and sit-ups that Jackson can complete within the given constraints. Let's assume he completes x lunges and y sit-ups. The total number of calories burned can be calculated using the following equation:

Total calories burned = (30 * x) + (20 * y)

We need to find a combination of x and y that satisfies the given conditions. By substituting the values for x and y from the answer options, we can calculate the total calories burned and see which combination meets or exceeds the goal of burning at least 620 calories. After evaluating each option, we find that option d) 12 lunges and 19 sit-ups satisfies the condition, as it burns a total of (30 * 12) + (20 * 19) = 620 calories.