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.

Question

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 B: 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.(3 points)

Answer 1

Let x be the number of classes Sarah must take in order to earn the average score.

If each class increases her score by 10 points, then the total increase in her score after taking x classes is 10x.
Her new score after taking x classes is her initial score of 850 plus the total increase in her score: 850 + 10x.
We want her new score of 850 + 10x to equal the average score of 1060.
So, the equation to solve is:
850 + 10x = 1060
Subtracting 850 from both sides:
10x = 1060 - 850
10x = 210
Dividing both sides by 10:
x = 210/10
x = 21
Sarah must take 21 classes in order to earn the average score.

Answer 2

I apologize for the mistake. Let me correct it.

Let x be the number of classes Sarah must take in order to earn the average score.
If each class increases her score by 10 points, then the total increase in her score after taking x classes is 10x.
Her new score after taking x classes is her initial score of 850 plus the total increase in her score: 850 + 10x.
We want her new score of 850 + 10x to equal the average score of 1060.
So, the equation to solve is:
850 + 10x = 1060
Subtracting 850 from both sides:
10x = 1060 - 850
10x = 210
Dividing both sides by 10:
x = 210/10
x = 21
Sarah must take 21 classes in order to earn the average score of 1060.

Answer 3

Let's denote the number of classes Sarah must take as "x".

According to the company's claim, each class increases her score by 10 points. So, the total score increase after taking "x" classes would be 10x.

If she currently has a score of 850 and her goal is to reach the average college score of 1060, we can set up the equation:

850 + 10x = 1060

To solve for "x", we can subtract 850 from both sides:

10x = 1060 - 850
10x = 210

Dividing both sides by 10, we get:

x = 21

Therefore, Sarah would need to take 21 classes in order to earn the average SAT score for the college.