Question

Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation.
•what does the slope of the line shown by the points mean in this situation?____
•what does the vertical intercept mean in this situation?_____

Answer 1

Answer:

Step-by-step explanation:

Customers at the gym pay a membership fee and fee for each class they attend.

From the graph attached,

- Slope of the line shown by the points means, fee per class paid by the customers.

- Vertical intercept means the membership fee to join the gym.

Answer 2

The slope means that each class cost $20, while the vertical intercept mean that the membership fee is $60.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the total fee paid for undergoing x classes.

The graph passes through the point (0, 60) and (6, 180). Hence:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-60=\frac{180-60}{6-0}(x-0)\\\\y=20x+60$

The slope means that each class cost $20, while the vertical intercept mean that the membership fee is $60.

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