Question

A gym charges a monthly fee and an additional cost for each class. Consider the graph that represents the relationship between the total monthly cost and the number of classes the customer purchases. Which of the following statements are true? Select all that apply

Answer 1

For this problem you need to understand that a linear graph is a straight line (Remember Rise/Run). 
A continous function is a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output, so we can already cross off that as an answer.
The Y-Intercept is the cost (in dollars), so this would be to monthly fee. 
Now, onto the rate of change. The rate of change is represented by the slope of a line. So the more classes you take the more it will increase. Therefore the cost for  one class is the rate of change. 
Lastly, the cost for one class is $10. It's not, since $10 is the intial fee to belong to a gym, so this is false. 

Recap:
True
-The relationship is linear
-The y-intercept represents the monthly fee.
-The rate of change represents the cost for one class.
False
-The relationship represents a continuous function. 
-The cost for one class is $10.
I hope I've helped you, have a great day!