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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Jennifer Crum has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to a website, a 135-pound person like
Jennifer will burn, on average, about 690 calories per hour running a moderate pace on the treadmill, about 540 calories per hour on the stair machine, and about 450
calories per hour on the cycle.
Answer parts (a)-(c).
a. Jennifer wants to spend 11 hours a week at the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 5970 calories
a week at the gym. Is it possible? How much time should Jennifer spend on each machine?
Start by setting up the system of equations, then solve for the variables. You may use a matrix calculator to solve the system.
hours on the treadmill,
A. Jennifer should spend
hours on the stair machine, and
(Type an integer or decimal rounded to the nearest tenth as needed.)
hours on the cycle.
B. It is not possible.
b. Jennifer decides to spend 17 hours this week at the gym. She still wants to spend twice as much time on the stair machine as the cycle, but wants to burn 12,810
calories. Is this possible?
Start by modifying your system of equations, then solve for the variables. You may use a matrix calculator to solve the system.
A. Jennifer should spend hours on the treadmill,
hours on the stair machine, and
(Type an integer or decimal rounded to the nearest tenth as needed.)
B. It is not possible.
hours on the cycle.
c. Next week Jennifer can spend only 9.3 hours at the gym, and still wants to spend twice as much time on the stair machine as the cycle. Can she still burn 5970 total
calories? If so, how much time should Jennifer spend on each machine?
Start by modifying your system of equations, then solve for the variables. You may use a matrix calculator to solve the system.
A. Jennifer should spend
hours on the treadmill, hours on the stair machine, and
hours on the cycle.
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