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?
0
1
2
3Tonya 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?
0
1
2
3

Respuesta :

Answer: 1 club - Club 2

Step-by-step explanation:

You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.

Club 1                                         Club 2                                 Club 3

= (432 - 216) / 12                       = (390 - 210) / 12                 = (504 - 252) / 12

= $18                                          = $15                                   = $21

Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.

Club 1;                                          Club 2;                                 Club 3

= 18 * 6                                         = 15 * 6                                = 21 * 6

= $108                                          = $90                                  = $126

Same as total cost at               Joining fee of $30;               No joining fee as

6 months so no joining            120 - 90 = $30                      this is the same

fee.                                                                                           as total cost at 6

                                                                                                months.

Answer:

b

Step-by-step explanation: