Question

A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 per gym visit. Nonmembers pay $10 per gym visit.
Click here to download a coordinate grid. On the grid, solve the system of linear equations graphically.

When you are finished, upload your work below.

b. Type the system of equations you used to graph the solutions. Use C for the cost of the two payment options and n for the number of visits.

c. After how many gym visits is the payment for the member option more beneficial than the payment for the nonmember option? Explain how you determined your answer.
I need help, does anybody know ??

Answer 1

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.