Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75,63, and 68. write an inequality representing the score that sam must get on the last test to get a C grade
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To determine the score that Sam must get on the last test to obtain a C grade, we need to find the average of his four test grades.
Let's assume that the last test score is represented by x.
To find the average, we add up all the test scores and divide by the number of tests. In this case, Sam has taken three tests already and needs to take the fourth test, so we have:
(75 + 63 + 68 + x) / 4
Since Sam needs to have an average of 70 or more to obtain a grade of C, we can write the inequality as:
(75 + 63 + 68 + x) / 4 ≥ 70
Now, we can solve for x:
(206 + x) / 4 ≥ 70
Multiply both sides of the inequality by 4 to get rid of the fraction:
206 + x ≥ 280
Subtract 206 from both sides:
x ≥ 74
Therefore, the inequality representing the score that Sam must get on the last test to get a C grade is x ≥ 74.