Gym A charges a registration fee of $74 plus $33 per month for members. Gym B charges a registration fee of $164 plus $18 per month for members. After how many months would the total cost at Gym A and Gym B be the same for members?

The total charge at Gym A and Gym B would be the same at 6 months

Step-by-step explanation:

The model for the charges of both Gyms is made of the registration fee plus a variable quantity per month.

Let's call m the number of months for members.

Gym A charges $74 plus $33 per month, thus:

Gym B charges $164 plus $18 per month, thus:

We want to find out the number of months needed for both charges to be the same, thus:

Subtracting 74 and 18m:

Simplifying:

Dividing by 15:

m=6

The total charge at Gym A and Gym B would be the same at 6 months

10

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)