How i write a inequality for this problem ??

Question

Jessica would like to get an A in her algebra class. To do so, she must have an average of no less than 93%. She scored 88%, 91%, 98%, 92%, and 95% on her first five tests. Assuming all six tests count the same toward her grade, write an inequality for the range of scores she can earn on the last test and still receive an A. (Use g for the grade needed to assure Jessica gets an A.)

Answer 1

The average of 6 tests is given by the sum of the 6 test scores, divided by 6.  You are given 5 of the scores and a variable name for the 6th so you can write that the 

 

Average = (88 + 91 + 98 + 92 + 95 + g) / 6 = (464 + g) / 6  

 

If you want this to be no less than 93 then the inequality is 

 

(464 + g) / 6  ≥  93  

 

You can solve this to get the minimum value of g.  Assuming that there is no extra credit on the test then the maximum value of g is 100, so the range would be  

 

MIN% ≤ g ≤ 100%