MATH SOLVE

3 months ago

Q:
# Option 1: $30 per month and $100 membership fee. Option 2: $25 per month and $150 membership fee. Michael is trying to determine which tennis club to join. If Michael choose option 2 for which month will his total cost for option 2 be less than total cost for option 1? A. month 8. B. month 9 C. month 10 D. month 11

Accepted Solution

A:

Let x = the number of months.

Option 1:

Membership fee = $100

Monthly cost = $30

Total cost = 100 + 30x

Option 2:

Membership fee = $150

Monthly cost = $25

Total cost = 150 + 25x

We want the cost for option 2 to be less than that for option 1.

Therefore

150 + 25x < 100 + 30x

50 < 5x

10 < x

or

x > 10 months

Answer: C. month 10

Option 1:

Membership fee = $100

Monthly cost = $30

Total cost = 100 + 30x

Option 2:

Membership fee = $150

Monthly cost = $25

Total cost = 150 + 25x

We want the cost for option 2 to be less than that for option 1.

Therefore

150 + 25x < 100 + 30x

50 < 5x

10 < x

or

x > 10 months

Answer: C. month 10