19. A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. Yoga Classes Number of Yoga Classes 6 Total Cost 8. 10 14 20 $67.50 $75.00 $82.50 $97.50 $120.00 Which statement is true? A. The additional fee per yoga class is $3.75. B. The additional fee per yoga class is $8.25. C. The membership fee is $35.00. D. The membership fee is $42.50.​

Respuesta :

Answer:

answer is A

Step-by-step explanation:

i did the test

The additional fee per yoga class is $3.75

Option A is correct

The table is represented below

Number of yoga classes       Total cost

 6                                                  $67.50

 8                                                  $75.00

 10                                                 $82.50

 14                                                 $97.50

 20                                                $120.00

Calculate the rate of change of the table

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

For the points (6, 67.50) and (8, 75.00)

[tex]m=\frac{75.00-67.50}{8-6} \\m = 3.75[/tex]

Using the equation y - y₁  =  m(x  -  x₁)

y  -  67.50  =  3.75(x  -  6)

y  -  67.50  =  3.75x  -  22.50

y   =  3.75x  -  22.5  +  67.50

y   =  3.75x  +  45

From the equation above:

The membership fee = $45

Additional fee per yoga = $3.75

Learn more here: brainly.com/question/17660810

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