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Get Fit Gym currently has 96 members participating in their aerobic classes, and this number has been increasing by 2 people per
week. The cycling classes have a total of 80 members who participate, and this number
has been decreasing by 3 people per
week. In how many weeks will the number of people working out in the aerobics classes be double the number of people
attending the cycling classes?

Respuesta :

XxItZSiya01xX

Step-by-step explanation:

mx + b = y

 

2x + 96 = y

-3x + 80 = z

 

What we want is y to be twice z, or y = 2z

If we're going to make 2z, then that means its equation needs to be doubled as well:

2x + 96 = 2(-3x + 80)

2x + 96 = -6x + 160

8x = 64

x = 8

 

Now to check our answer:

2 * 8 + 96

16 + 96 = 112

 

-3 * 8 + 80

-24 + 80 = 56

56 * 2 = 112

 

hope it helps :)

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