FitZoom Gym offers monthly memberships to its gym. The cost of membership, c, is based on the number of months purchased, m, along with a discount for the first month. The table below shows the pricing structure. Which equation represents FitZoom's membership price equation?

y = 35.5x - 10

Step-by-step explanation:

If we graph the function with the help of the given table,

Since, there is a common difference in each term of 'cost of gym membership'

d = 61 - 25.5 = 35.5

d = 96.5 - 61 = 35.5

Graph will represent a linear function.

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the graph and 'm' is the slope.

Two points lying on the graph are (1, 25.5) and (2, 61).

Slope of the line =

                           =

                           = 35.5

Equation of the line passing through (1, 25.5) having slope 'm' = 35.5

y - 25.5 = 35.5(x - 1)

y = 35.5x - 35.5 + 25.5

y = 35.5x - 10

Here x = duration of membership

y = membership price

Therefore, equation representing Fit Zoom's membership price equation will be,

y = 35.5x - 10

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x