SOLUTION: Rachel hands in her 4th exam. the scores on her first three examns were 75,95,97.what foes she need to earn on the 4th exam to average at least a 90 on the four exams. contruct an

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Question 202514: Rachel hands in her 4th exam. the scores on her first three examns were 75,95,97.what foes she need to earn on the 4th exam to average at least a 90 on the four exams. contruct an inequality with the variable x representing the 4th score, the salvge the inquality for x.
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(12660) (Show Source):
You can put this solution on YOUR website!
75+95+97+x=267
267x/4=67

Answer by MathTherapy(1424) (Show Source):
You can put this solution on YOUR website!
Since Rachel needs to get AT LEAST a 90-average on the four exams, using the average formula, which states:

, we then get the following inequality:

Multiplying each expression by the LCD, 4, we get: , or

Therefore, in order for Rachel to average at least a 90 on all four exams, she has to score a 93, or more on her 4th and final exam.

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