Anna wants to take fitness classes. she compares two gyms to determine which would be the best deal for her. fit fast charges a set fee per class. stepping up charges a monthly fee, plus an additional fee per class. the system of equations models the total costs for each.

y = 7.5x

y = 5.5x + 10

1. substitute: 7.5x = 5.5x + 10

how many classes could anna take so that the total cost for the month would be the same?

5
classes

what is the total monthly cost when it is the same for both gyms?

$

How many classes could Anna take so that the total cost for the month would be the same?

5 classes

What is the total monthly cost when it is the same for both gyms?

$37.50

Step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.