SOLUTION: the highest test score scott can receive is a 100.The sum of his first four test scores is atleast 360.Find the range of scores scott must get on his fifth test to have an average

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Question 1103665: the highest test score scott can receive is a 100.The sum of his first four test scores is atleast 360.Find the range of scores scott must get on his fifth test to have an average greaterthan 70?
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the highest test score scott can receive is a 100.The sum of his first four test scores is atleast 360.Find the range of scores scott must get on his fifth test to have an average greaterthan 70?
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Let s be the minimum score Scott must get on the 5th test
+%28360+%2B+s%29%2F5+%3E+70+
++72+%2B+s%2F5+%3E+70+
++++s%2F5+%3E+-2+
++++s+%3E+-10+
It is unlikely Scott can score below zero, so he's guaranteed to get a 72 even if he scores 0 on the 5th test:

Ans: +s+%3E=+0+ and Scott maintains an average > 70