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Question

In Roscher's class, a student with an average score from 80 to 89, inclusive, gets a B grade. His grade is based only on 3 tests. The highest possible score on each of these tests is 100 points. Roscher scored 79 points in his first test and 95 in his second test. If y represents his score in the third test, determine which of the following inequalities below shows all values of y that would earn Roscher a B in his Physics class.

A
66y93
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B
66y100
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C
80y89
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D
80y93
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Solution

The correct option is A 66y93
Given, in Roscher's class a student with an average score 80 to 89, gets a B grade in based 3 tests.
Roscher scored 79 points in his first test and 95 in second test and he get y scored in third test.
Then 79+95+y=y+174 are total marks scored Roscher in all tests.
If the average score is 80
Then y+174=3×80
y+174=240
y=240174=66
If the average score is 80
Then y+174=3×89
y+174=267
y=267174=93
Then inequalities is 66y93

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