Question

Choose the inequality that describes the following problem.

Answer 1

Answer:

$x\geq 125$

Step-by-step explanation:

• 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 $\frac{90}{100} *650=\frac{90*650}{100} =585points$
• 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 $x$ 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 $x\geq 125$