Sarah received a score of 850 on the SAT and has signed up for a test prep class to help her improve her score. The test prep company claims that each class she attends will increase her score by 10 points.

Part A: Assuming the test prep company's claim is correct, define each variable and write an expression to represent Sarah's SAT score after she attends any given number of classes.

Let's define the variables:

S = Sarah's SAT score
C = Number of classes attended

The expression to represent Sarah's SAT score after attending any given number of classes is:

S = 850 + 10C

Let's define the variables:

- Sarah's initial SAT score: S_initial = 850
- Number of classes attended by Sarah: N_classes
- Increase in SAT score per class attended: Increase = 10

Now, we can write an expression to represent Sarah's SAT score after attending any given number of classes:

S_final = S_initial + (Increase * N_classes)

To define the variables:

- Let's use the variable 'S' to represent Sarah's SAT score.
- Let 'C' represent the number of classes Sarah attends.

Now, let's write an expression to represent Sarah's SAT score after attending any given number of classes. Since each class is said to increase her score by 10 points, we can express it as:
S + 10C.

This expression calculates Sarah's SAT score by adding the initial score 'S' with the 10 points gained for each class attended '10C'.