Question

PLEASE HELP I ONLY HAVE 10 minutes

In Mr. Forester's science class,
students are given five tests in a
semester. Latoya's scores on the first
four tests are 86%, 82%, 91%, and
98%. If Latoya's score on the final
test is represented by x, then her
class average y can be found using
the equation below.
y =
86% + 82% + 91% + 98% + x
5
Mr. Forester awards an "A" to any
student whose class average falls
within the 90 - 100% range. Which
interval represents the domain of final
test scores that Latoya can get and
still receive an "A"?
F [90%, 100%]
G [87%, 100%]
H [93%, 100%]
[96%, 100%]

Answer 1

The answer is [87%, 100%]

Answer 2

The answer is "H [93%, 100%]"

Explanation:

I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.

This is a surprisingly useful question hah, I'll bet many will need to do this.

This question is just finding the average. Pretty simple.

y = 86 + 82 + 91 + 98 + x / 5

y = 357 + x / 5

An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.

y = 357 + (87) / 5

y = 444 / 5

y = 88.8

Okay, so the answer isn't G. Then let's try H.

y = 357 + (93) / 5

y = 450 / 5

y = 90

Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".