Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club A charges.


The table below represents what Health Club B charges.

Two health clubs offer different pricing plans for their members Both health clubs charge a onetime signup fee and a monthly membership fee The graph below repr class=
Two health clubs offer different pricing plans for their members Both health clubs charge a onetime signup fee and a monthly membership fee The graph below repr class=

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Answer:

The answer is below

Step-by-step explanation:

The question is not complete but I would show how this charges can be represented by an equation.

For health club A:

The graph (x, y) passes through the points (2, $136) and (4, $242). Let x represent the total months and y represent the total charges. The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-136=\frac{242-136}{4-2}(x-2)\\\\y-136=53(x-2)\\\\y-136=53x-106\\\\y=53x+30[/tex]

For health club B:

The table (x, y) has the points (4, 173) and (6, 23y). Let x represent the total months and y represent the total costs. The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-173=\frac{237-173}{6-4}(x-4)\\\\y-173=32(x-4)\\\\y-173=32x-128\\\\y=32x+45[/tex]