High School

Emerson needs an average of at least 90 points to earn an "A" in his science class. So far, his test scores are 92, 86, and 88. What is the lowest grade Emerson can score on his final test to earn an "A"?

A. \( s < 94 \), Emerson must earn below a 94 on his final test to earn an "A" in his class.
B. \( s > 94 \), Emerson must earn above a 94 on his final test to earn an "A" in his class.
C. \( s < 94 \), Emerson must earn at most a 94 on his final test to earn an "A" in his class.
D. \( s \geq 94 \), Emerson must earn at least a 94 on his final test to earn an "A" in his class.

Answer :

Answer:

D) Emerson must earn at least a 94 on his final test to earn an “A” in his class

Step-by-step explanation:

We calculate this using mean in this format:

Test Scores / # of Test ≥ 90 (which is an A)

Substitute:

(92 + 86 + 88)+ x / 4 ≥ 90

Add:

266 + x / 4 ≥ 90

Get Rid of the Denominator:

(4) 266 + x / 4 ≥ 90 (4)

Multiply:

266 + x ≥ 360

Isolate x (Subtract 266 From Both Sides):

x ≥ 94

This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)

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