Question

The local gym offers two different yearly plans:
Plan One: $ 115 per year
Plan Two: $25 per year plus $5 per visit.
A) T = Total cost of gym membership & v = # of gym visits. Write linear equations for both plans.
B) Graph Plan 1 and Plan 2 in a coordinate plane.
C) After how many visits will the cost of both plans be equal?

Answer 1

A: f(x)=115x+0 and f(x)= 25x+5

Answer 2

What about v, the number of visits?

Answer 3

Give me a sec :)

Answer 4

C= 18 visits

Answer 5

Would T = 115 & T = 5v + 25 work?

Answer 6

I got 18 visits with these equations.

Answer 7

T= 115x+0v (or T=115x) and T=25x+5v

T= total amount of money
X= number of years
V= number of visits.

Answer 8

If you assume that you are only looking at one year, then, yes mysangels, your equations would be fine. If you need to consider many years, then Throneofbooks has a good way of capturing that situation.

Answer 9

It doesn't specify, so that's what I thought. How would you graph Throneofbooks's equations?

Answer 10

Technically, throneofbooks's equations would need to be plotted in 3D. : ) So, for your assignment, it's probably safe to assume they meant only to think for only one year.

Answer 11

When I substituted the equations to equal each other, I got 18. But how would you get 18 if the y intercept is 25?

Answer 12

25 multiplied by the number of visits= y intercept

Answer 13

They equal the y values, not the y intercept

Answer 14

Ok. I think I get it now. Thank you, guys!