The required average on next two tests are:
[tex]t\geq \frac{450-p}{2}[/tex]
Solution:
An A grade will be given to students having at least 450 total test points
Let p represent her present test point total, and t represent the necessary average on the next two tests
There are two more tests to take before the semester is over
Therefore,
[tex]p+2t\geq 450[/tex]
A grade is given to students having at least 450 total test points
"at least" means greater than or equal to
So we have used greater than or equal to symbol
Solve the inequality for "t"
[tex]p+2t\geq 450\\\\Subtract\ p\ from\ both\ sides\\\\2t\geq 450-p\\\\Divide\ both\ sides\ by\ 2\\\\t\geq \frac{450-p}{2}[/tex]
Thus the required average on next two tests are:
[tex]t\geq \frac{450-p}{2}[/tex]