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In a certain math class, there is a total of 600 possible points from 4 tests
In a certain math class, there is a total of 600 possible points from 4 tests. Beth made a 96, 110, and 100 on her first 3 math tests. Each test is worth 150 points. To get at least a C, the total points must be at least 420. What has to be the score on the last test to get at least a C?
(a) If x is her fourth exam score, write the equation for her numerical grade.
(b) Set up and solve an inequality to solve this problem.
Expert Solution
The score on the three tests are 96, 110 and 100. Let x be the grade on her fourth test.
For the sum to be at least 420:
x+96+110+100≥420x+306≥420x≥420−306x≥114x+96+110+100≥420x+306≥420x≥420−306x≥114
Hence, Beth must score at least 114 on her fourth test to get a C.
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