Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table.

Total Cost of Fitness Club Membership
Length of membership
Club 1
Club 2
Club 3
6 months
$108
$120
$126
12 months
$216
$210
$252
24 months
$432
$390
$504

How many of the clubs require new members to pay a one-time membership fee?
A: 0
B: 1
C: 2
D: 3

Respuesta :

b because it’s the only one that doesn’t double in value

The number of clubs that require new members to pay a one-time fee is one.

In order to determine which fitness club requires a one-time membership fee, the average cost per month for each club has to be determined.

Cost of membership per month = cost / number of months

Average cost of Club 1

Average cost for 6 months = $108/6 = $18

Average cost for 12 months = $216 / 12 = $18

Average cost for 24 months = $432 / 24 = $18

The average costs each month is the same. This means that there is no one-time membership fee in this club.

Average cost of Club 2

Average cost for 6 months = 120 / 6 = $20

Average cost for 12 months = $210 / 12 = $17.50

Average cost for 24 months = $390 / 24 = $16.25

The average costs each month is not the same. This means that there is a one-time membership fee in this club.

Average cost of Club 3

Average cost for 6 months = $126 / 6 = $21

Average cost for 12 months = $252 / 12 = $21

Average cost for 24 months = $504 / 24 = $21

The average costs each month is the same. This means that there is no one-time membership fee in this club.

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