SOLUTION: The grading scale for a C in Amy's biology class is an average on tests between 70% and 80%, inclusive. Amy has 64%,84%,and 78%on the first three tests this semester. What range of

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Question 817448: The grading scale for a C in Amy's biology class is an average on tests between 70% and 80%, inclusive. Amy has 64%,84%,and 78%on the first three tests this semester. What range of scores on the fourth test would give her a C?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
( 64 + 84 + 78 + x )/4 >= 70 is the equation for obtaining at least a C
( 226 + x )/4 >= 70
Multiply each side by 4
226 + x >= 70*4
226 + x >= 280
Subtract 226 from each side.
x >= 54
To determine the maximum value of x
we need to solve
( 64 + 84 + 78 + x )/4 <= 80
The rest is left for the student.