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

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.

option: d is correct

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have