Question

Please Help extra points

Cristobal is comparing the membership club fees at two different bookstores. At the first bookstore, it costs $24.48 annually to be a member of the club, but he will save 15% on all his purchases. At the second bookstore, it costs $36.83 annually to be a member of the club, but he will save 25% on all his purchases.

How much does Cristobal need to spend in a year for the membership at the second bookstore to be the better value?
A. $123.51
B. $86.68
C.$142.03
D. $154.38

Answer 1

A. $123.51

`1^(st)`: $24.48 per year + price * 0.85

`2^(nd)`: $36.83 per year + price * 0.75

Substitute each value into both equations as price.

A:

129.4635

129.4625

B:

98.158

101.84

C:

145.2055

143.3625

D:

155.703

152.615

A is the lowest value where the second value is lower than the first.