Concept explainers
a.
To calculate: The monthly cost of the gym.
a.
Answer to Problem 74PFA
The monthly cost of the gym is $40.
Explanation of Solution
Given:
Paul joins a gym that has an initial membership fee and a monthly cost. He pays a total of $295 after 3 months, and $495 after 8 months.
Calculation:
Let the initial membership fee be x and monthly cost be y .
Then, after 3 months total cost will be
And, after 8 months total cost will be
By problem, Paul pays a total of $295 after 3 months, and $495 after 8 months.
Then,
Subtracting (1) from (2),
Conclusion:
The monthly cost of the gym is $40.
b.
To calculate:The initial membership fee of the gym.
b.
Answer to Problem 74PFA
The initial membership fee of the gym is $175.
Explanation of Solution
Given:
Paul joins a gym that has an initial membership fee and a monthly cost. He pays a total of $295 after 3 months, and $495 after 8 months.
Calculation:
Putting
Conclusion:
The initial membership fee of the gym is $175.
c.
To calculate:An equation for the total cost C as a function of the number of months, m .
c.
Answer to Problem 74PFA
An equation for the total cost C as a function of the number of months, m is
Explanation of Solution
Given:
Paul joins a gym that has an initial membership fee and a monthly cost. He pays a total of $295 after 3 months, and $495 after 8 months.
Calculation:
The initial fee of the gym is $175.
The monthly cost of the gym per month is $40.
Then, the monthly cost for m months is $ 40m .
Therefore, total cost of the gym for m months
Here C is the total cost.
Then,
Conclusion:
An equation for the total cost C as a function of the number of months, m is
d.
To calculate:The amount Paul will be paid after one year.
d.
Answer to Problem 74PFA
Paul will pay $655 after one year.
Explanation of Solution
Given:
Paul joins a gym that has an initial membership fee and a monthly cost. He pays a total of $295 after 3 months, and $495 after 8 months.
Calculation:
The total cost of gym for m months is
Then, the total cost for one year, that is, 12 months
Conclusion:
Paul will pay $655 after one year.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
College Algebra
Mathematics All Around (6th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education