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When Jose retook the test, he increased his score by 15 percentage points. Jose raised his score to [tex]$83 \%$[/tex] on the test.

Which of the following equations represents the word problem if [tex]$x$[/tex] represents Jose's score on the first test?

A. [tex]x - 15 = 83[/tex]
B. [tex]x + 15 = 83[/tex]
C. [tex]x = 15 + 83[/tex]

Answer :

Let's work through this problem step-by-step:

1. Identify Jose's Original Test Score:
We know that Jose increased his score by 15 percentage points to reach a final score of 83%.

2. Define the Variable:
Let 'x' represent Jose's score on the first test, which means before the increase.

3. Write the Word Problem as an Equation:
Since Jose's first score increased by 15 percentage points to achieve the new score, we can write this relationship using the following equation:

[tex]\(x + 15 = 83\)[/tex]

Here, 'x + 15' represents Jose's improved score of 83%.

Therefore, the correct equation that represents the problem is:
[tex]\[x + 15 = 83\][/tex]

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