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?
=========================================================
Let s be the minimum score Scott must get on the 5th test
{{{ (360 + s)/5 > 70 }}}
{{{  72 + s/5 > 70 }}}
{{{    s/5 > -2 }}}
{{{    s > -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 >= 0 }}} and Scott maintains an average > 70
—