Choose the inequality that describes the following problem.
Mark wants to get at least a 90% for his marks in his science class. So far, he has
taken five 100-points tests, and he scored 460 points total. The final test is 150
points. What must he score to finish the class at his goal of at least 90%?

So first we have to find out the total number of points possible
So he took 5 tests each with a max score of 100 points, so that's 500 points total
The final test will be 150 points, so his whole grade is out of 500+150= 650 points
He has already scored 460 of those 650 points
Now how much must he get in the least, on the last test in order to make 90%?
Now we need to find what 90% of 650 points is
so [tex]\frac{90}{100} *650=\frac{90*650}{100} =585points[/tex]
Then we ask ourselves, how much must we add to 460, to get 585 points? 585-460= 125 points
So Mark needs to get either 125 points or more on the next test to make 90% or more
Now let's say the letter [tex]x[/tex] means whatever grade number Mark gets on his next test
This number must not be less than 125, so it must be either equal to or greater than 125 points
So [tex]x\geq 125[/tex]