When Pilar spent 35 minutes on the elliptical trainer and then did circuit training for 30 minutes, her fitness app said she burned 940 calories. When she spent 20 minutes on the elliptical trainer and 20 minutes circuit training she burned 580 calories. Solve the system:
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When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes, her fitness app says she burned 435 calories. When she spent 30 minutes on the elliptical trainer and 40 minutes circuit training she burned 690 calories. Solve the system $\left\{\begin{array}{l}15 e+30 c=435 \\ 30 e+40 c=690\end{array}\right.$ for $e,$ the number of calories she burns for each minute on the elliptical trainer, and $c,$ the number of calories she burns for each minute of circuit training.
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Solving Systems of Equations by Substitution
Translate to a system of equations and then solve: When Jenna spent 10 minutes on the elliptical trainer and then did circuit training for 20 minutes, her fitness app says she burned 278 calories. When she spent 20 minutes on the elliptical trainer and 30 minutes circuit training she burned 473 calories. How many calories does she burn for each minute on the elliptical trainer? How many calories for each minute of circuit training?
Supreeta N.
When you spent 22.6 minutes on the elliptical trainer and then did circuit training for 19.8 minutes, your fitness app says you burned 309.5 calories. When you spent 17.7 minutes on the elliptical trainer and 21.8 minutes circuit training you burned 466.3 calories. How many calories did you burn for each minute on the elliptical trainer? How many calories for each minute of circuit training? a. This system has an infinite number of solutions. b. calories burned on the elliptical trainer: 30.34, calories burned during circuit training: 19.00 c. calories burned on the elliptical trainer: -17.48, calories burned during circuit training: 35.58 d. This system has no solutions e. calories burned on the elliptical trainer: 44.87, calories burned during circuit training: 25.00 f. calories burned on the elliptical trainer: 35.58, calories burned during circuit training: -17.48
Kathleen C.
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