Question

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

Answer 1

b

Explanation:

Answer 2

Answer: 1 club - Club 2

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.