Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Samantha has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to an exercise website, a 130-lbd person like Samantha will burn, on average, about 600 calories per hour running on a treadmill, about 500 calories per hour on the stair machine, and about 300 calories per hour on the sycle. Samantha wants to spend 9.5 hours a week in the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 4600 calories a week at the gym. Is this possible? (a) Write the system of equations that describe the problem. Let t be the number of hours she spends on the treadmill, s be the number of hours she spends on the stair machine, and c be the number of hours she spends on the cycle. Make sure to use the variables from the drop down menu. Calories equation: Time equation: Machines equation: (b) Use an online calculator to solve the system of equations. Put your answer into context by entering the values in the sentence below. Make sure to enter your answers as decimals, not fractions. Samantha needs to spend hours per week on the treadmill, hours per week on the stair machine, and hours per week on the cycle to reach her goal of burning 4600 calories a week. (c) Samantha has several exams and due dates in the coming week and can only spend 7.5 hours at the gym. Modify the equations as needed and solve the new system of equations. Write down the solution from the online calculator as a sentence (like in part b) in the window below and state whether or not Samantha will be able to reach the goal of burning 4600 calories in that week. Give a reason for your answer.

Samantha has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to an exercise website, a 130-lbd person like Samantha will burn, on average, about 600 calories per hour running on a treadmill, about 500 calories per hour on the stair machine, and about 300 calories per hour on the sycle. Samantha wants to spend 9.5 hours a week in the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 4600 calories a week at the gym. Is this possible? (a) Write the system of equations that describe the problem. Let t be the number of hours she spends on the treadmill, s be the number of hours she spends on the stair machine, and c be the number of hours she spends on the cycle. Make sure to use the variables from the drop down menu. Calories equation: Time equation: Machines equation: (b) Use an online calculator to solve the system of equations. Put your answer into context by entering the values in the sentence below. Make sure to enter your answers as decimals, not fractions. Samantha needs to spend hours per week on the treadmill, hours per week on the stair machine, and hours per week on the cycle to reach her goal of burning 4600 calories a week. (c) Samantha has several exams and due dates in the coming week and can only spend 7.5 hours at the gym. Modify the equations as needed and solve the new system of equations. Write down the solution from the online calculator as a sentence (like in part b) in the window below and state whether or not Samantha will be able to reach the goal of burning 4600 calories in that week. Give a reason for your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
See similar textbooks
icon
Related questions
Question
Samantha has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to an exercise website, a 130-lbd person like Samantha will burn, on average, about 600 calories per hour running on a treadmill, about 500 calories per hour on the stair machine, and about 300 calories per hour on the sycle. Samantha wants to spend 9.5 hours a week in the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 4600 calories a week at the gym. Is this possible? (a) Write the system of equations that describe the problem. Lett be the number of hours she spends on the treadmill, s be the number of hours she spends on the stair machine, and c be the number of hours she spends on the cycle. Make sure to use the variables from the drop down menu. Calories equation: Time equation: Machines equation: (b) Use an online calculator to solve the system of equations. Put your answer into context by entering the values in the sentence below. Make sure to enter your answers as decimals, not fractions. Samantha needs to spend hours per week on the treadmill, hours per week on the stair machine, and hours per week on the cycle to reach her goal of burning 4600 calories a week. (c) Samantha has several exams and due dates in the coming week and can only spend 7.5 hours at the gym. Modify the equations as needed and solve the new system of equations. Write down the solution from the online calculator as a sentence (like in part b) in the window below and state whether or not Samantha will be able to reach the goal of burning 4600 calories in that week. Give a reason for your answer.
Transcribed Image Text:Samantha has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to an exercise website, a 130-lbd person like Samantha will burn, on average, about 600 calories per hour running on a treadmill, about 500 calories per hour on the stair machine, and about 300 calories per hour on the sycle. Samantha wants to spend 9.5 hours a week in the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 4600 calories a week at the gym. Is this possible? (a) Write the system of equations that describe the problem. Lett be the number of hours she spends on the treadmill, s be the number of hours she spends on the stair machine, and c be the number of hours she spends on the cycle. Make sure to use the variables from the drop down menu. Calories equation: Time equation: Machines equation: (b) Use an online calculator to solve the system of equations. Put your answer into context by entering the values in the sentence below. Make sure to enter your answers as decimals, not fractions. Samantha needs to spend hours per week on the treadmill, hours per week on the stair machine, and hours per week on the cycle to reach her goal of burning 4600 calories a week. (c) Samantha has several exams and due dates in the coming week and can only spend 7.5 hours at the gym. Modify the equations as needed and solve the new system of equations. Write down the solution from the online calculator as a sentence (like in part b) in the window below and state whether or not Samantha will be able to reach the goal of burning 4600 calories in that week. Give a reason for your answer.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
SEE MORE TEXTBOOKS