SOLUTION: Solve the following problems by writing an expression of inequality Statistics. Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first t

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Question 86455: Solve the following problems by writing an expression of inequality
Statistics. 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. (Hint: Note that you must determine the score Sam needs on his fourth test to get a C in the class. Don’t forget to show the correct inequality symbol!)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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. (Hint: Note that you must determine the score Sam needs on his fourth test to get a C in the class. Don’t forget to show the correct inequality symbol!)
:
Let x = the required test score
:
%28%2875+%2B+63+%2B+68+%2B+x%29%29%2F4 => 70
:
%28%28206+%2B+x%29%29%2F4 => 70
:
Get rid of the denominator; mult equation by 4
206 + x => 4(70)
206 + x => 280
x => 280 - 206
x => 74
:
:
Check
%28%2875+%2B+63+%2B+68+%2B+74%29%29%2F4 => 70
%28%28280%29%29%2F4 => 70