gym membership which was not getting much regular use anyways. Their gym membership was $75 a month with an initial fee of $150. If your friend wants to use all the features of the new bike, they will need to pay $30 monthly to gain access to the digital content and workouts associated with the bike. Do you think that they are being realistic about the cost savings? Support your answer by answering/addressing each of the following prompts: 1) Write a linear equation that models the total cost of the exercise bike: Linear equation: a) What is the slope of your model and what does that mean in the context of the problem (what does it tell you about how much the cost changes?) b) What is the y-intercept of your model and what does that represent in the context of the problem? 2) Write a linear equation that models the total cost of the gym membership: Linear equation: a) What is the slope of your model and what does that mean in the context of the problem (what does it tell you about how much the cost changes?) b) What is the y-intercept of your model and what does that represent in the context of the problem?
gym membership which was not getting much regular use anyways. Their gym membership was $75 a month with an initial fee of $150. If your friend wants to use all the features of the new bike, they will need to pay $30 monthly to gain access to the digital content and workouts associated with the bike. Do you think that they are being realistic about the cost savings? Support your answer by answering/addressing each of the following prompts: 1) Write a linear equation that models the total cost of the exercise bike: Linear equation: a) What is the slope of your model and what does that mean in the context of the problem (what does it tell you about how much the cost changes?) b) What is the y-intercept of your model and what does that represent in the context of the problem? 2) Write a linear equation that models the total cost of the gym membership: Linear equation: a) What is the slope of your model and what does that mean in the context of the problem (what does it tell you about how much the cost changes?) b) What is the y-intercept of your model and what does that represent in the context of the problem?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Chapter 4 Project (Worksheet)
Problem Scenario:
A friend of yours recently purchased a new exercise bike that cost
$1,500. They were very excited to tell you what a great deal it was
and said that they may actually be saving money if they dropped their
gym membership which was not getting much regular use anyways.
Their gym membership was $75 a month with an initial fee of $150.
If your friend wants to use all the features of the new bike, they will
need to pay $30 monthly to gain access to the digital content and
workouts associated with the bike.
Do you think that they are being realistic about the cost savings?
Support your answer by answering/addressing each of the following prompts:
1) Write a linear equation that models the total cost of the exercise bike:
Linear equation:
a) What is the slope of your model and what does that mean in the context of the problem
(what does it tell you about how much the cost changes?)
b) What is the y-intercept of your model and what does that represent in the context of
the problem?
2) Write a linear equation that models the total cost of the gym membership:
Linear equation:
a) What is the slope of your model and what does that mean in the context of the problem
(what does it tell you about how much the cost changes?)
b) What is the y-intercept of your model and what does that represent in the context of the
problem?
Transcribed Image Text:3) When will your friend break even? Solve the problem any way you like without using a
graph. Be sure to show and justify your method clearly.
4) Solve the problem by graphing both equations and finding the intersection of the two lines.
The accuracy of your graph is important. Use the tools necessary such as a straight edge,
graph paper, or technology to produce an accurate graph that is properly labeled and scaled
correctly.
5) Compare your answers in parts 3 and 4 to check your work. Do you get the same
answer? Why or why not?
6) Give your friend feedback by explaining your mathematical work and tell them what it means
in terms of when they will be saving money and when they will be losing money. Use at least
four sentences to give your friend a response.
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