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!