Question

Clint was given the following information and told to enter a rule for C(t) to give the total calories burned (C) and time (T) in minutes during the workout. While exercising, a persons workout consists of using a rowing machine and an elliptical trainer for 30 minutes each. The person burns calories at the following rates: 7 calories per minute on the rowing machine and 9 calories per minute on the Elliptical trainer. (It’s on HMH)

Answer 1

Clint's rule for C(t) calculates the total calories burned during a 60-minute workout as the sum of calories burned on the rowing machine (7 calories/minute) and the elliptical trainer (9 calories/minute) for 30 minutes each, resulting in a total of 480 calories burned.

Step-by-step explanation:

To find the formula for C(t), we can use the given calorie burn rates: 7 calories per minute on the rowing machine and 9 calories per minute on the elliptical trainer.

Since the workout on each machine lasts for 30 minutes, we can calculate the calories burned on each machine separately and then sum them up.

For the rowing machine, the total calories burned would be 7 calories/minute × 30 minutes = 210 calories.

For the elliptical trainer, it's 9 calories/minute × 30 minutes = 270 calories.

Adding these two gives us the total calories burned during the workout.

Therefore, the rule for the total calories burned, C(t), would be:

C(t) = (7 calories/minute × 30 minutes) + (9 calories/minute × 30 minutes)

Simplifying the expression, we get:

C(t) = 210 calories + 270 calories

C(t) = 480 calories

This is Clint's formula to calculate total calories burned during a 60-minute workout with equal time on both machines.