Concept explainers
(a)
Write the equation models the total cost of Ken`s fitness membership
(a)
Answer to Problem 64PFA
Explanation of Solution
Given:
Ken`s fitness membership cost $100 to join and a $25 monthly fee. Ken also used a coupon to get 10% off the monthly fee.
Concept Used:
The total cost of Ken`s fitness membership =
A number of months = (m)
Ken also used a coupon to get 10% off the monthly fee.
Ken`s fitness membership cost $100 to join and a $25 monthly fee.
Calculation:
Ken also used a coupon to get 10% off the monthly fee.
Total cost for m months after 10% discount =
Ken`s fitness membership cost $100 to join.
Equation:
Thus, the
(b)
Explain your solution process and choose the correct statements.
(b)
Answer to Problem 64PFA
Ken did stay at the club at least 2 years since the number of month = 28
Explanation of Solution
Given:
If Ken $730, did he stay at the club for at least 2 years?
Concept Used:
The total cost of Ken`s fitness membership =
A number of months = (m)
Ken also used a coupon to get 10% off the monthly fee.
Ken`s fitness membership cost $100 to join and a $25 monthly fee.
Calculation:
Ken also used a coupon to get 10% off the monthly fee.
Total cost for m months after 10% discount =
Ken`s fitness membership cost $100 to join.
Equation:
Steps | Explanation | Correct Options |
Original equation | ||
Plug in
| Option A | |
To isolate m, subtract 100 from each side | Option C | |
Simplify | ||
Divide each side by 22.5 | Option D | |
Simplify | Option F, Ken did stay at the club at least 2 years since m = 28 |
Number of months = m = 28 months
Ken did stay at the club at least 2 years since m = 28
Thus,Ken did stay at the club at least 2 years since the number of month = 28
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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