Agym 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

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!

Step-by-step explanation:

So we start with the original expression to be:

so we need to first split the square root into two, one for the numerator and another one for the denominator so we get:

we can now simplify that so we get:

we can now rationalize the denominator by multiplying the fraction by

so we get:

we do the multiplication so we end up with:

which simplifies to: