Question

You are planning to join a gym. Muscles Gym costs $100 to join and $25 each month (

) and Cardio Gym costs nothing to join and $50 each month (
).

Solve this linear system and choose the true statement below. (Look carefully at the order of the numbers in the solution.)

The solution is (200, 4). This means that it will cost me $200 to go to either gym 4 times.


The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.


The solution is (200, 4). This means that at 4 months of membership, either gym will cost $200.


The solution is (4, 200). This means that at 4 months of membership, either gym will cost $200.

Answer 1

The answer is: (B)

The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.

the equations given to you were:

(C = 100 + 25x) and (C = 50x)

well, if you plug in 200 for C and 4 for x you get these equations,

200 = 100 + 25(4), and 200 = 50(x)

I solved both step-by-step below.

1. C = 100 + 25x plug in points

200 = 100 + 25(4) solve the parenthesis's

200 = 100 + 100 combine like terms

200 = 200 both sides are equal

2. C = 50x plug in points

200 = 50(4) solve the parenthesis's

200 = 200 both sides are equal