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. The average SAT score for the college is 1060.

Suppose the company's claim is correct and her score will increase by 10 points for each class that she attends.

Write and solve an equation to determine the number of classes Sarah must take in order to earn the average score.

This algebraic problem requires solving for the number of classes Sarah needs to increase her SAT score to the average college score. By setting up the equation 850 + 10*C = 1060, and solving for C, we determine that Sarah would need to attend 21 classes.

Explanation:

This is a mathematics problem, specifically in the field of algebra. We know that Sarah originally scored 850 on her SAT. The test prep company claims that each class will increase her score by 10 points, and Sarah wants to reach the average college score of 1060.

We can write this as an algebraic equation: 850 + 10*C = 1060, where C represents the number of classes Sarah needs to take. By subtracting 850 from both sides, we get: 10*C = 210.

Finally, to find the value of C, we divide both sides of the equation by 10, which gives us: C = 21.

Therefore, Sarah would need to attend 21 classes to reach the average college SAT score,

according to the test prep company's claim.

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