Question 813637: Christian has scores of 68, 65, 75, and 78 on his algebra tests. Use a compound inequality to find the scores he can make on his final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79.
Found 2 solutions by ewatrrr, TimothyLamb:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
scores of 68, 65, 75, and 78 on his algebra tests 0r 286 Pts per date
Let x represent the final exam score
70 ≤ avg ≤79 represents a C in the class
Question states***to receive a C
70 ≤(286 + 2x)/6) ≤ 79
(420-286)/2 ≤ x ≤ (474 - 286)/2
67 ≤ x ≤ 94
Answer by TimothyLamb(4379)  (Show Source):
You can put this solution on YOUR website! (68 + 65 + 75 + 78 + f)/6 = 70
(286 + f)/6 = 70
286 + f = 70*6
286 + f = 420
f = 134
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(68 + 65 + 75 + 78 + f)/6 = 79
(286 + f)/6 = 79
286 + f = 79*6
286 + f = 474
f = 188
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if the final counts as two tests, I assume that max score on the final is 200 (not 100).
if that's true, then:
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Answer:
134 <= f <= 188
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