How do you do this and what's the answer? Explain plz.

We are given that T = test score, and x = # of hours studied. We are given the same information in numbers:
T = 90
x = 6
y = ?
We need to figure out y in terms of k. Let's set up what we know:
[tex] T = \frac{x}{ky} [/tex]
[tex] 90=\frac{6}{ky} [/tex]
Let's multiply both sides by y to get rid of it on the right side:
[tex] 90y = \frac{6}{k} [/tex]
Now, let's divide by 90 on both sides to get rid of it from the left side (and solve for y):
[tex] y = \frac{6}{90k} [/tex]
Your answer is A! If any part didn't make sense, you know where to reach me.
Givens
Number of hours she studies = x = 6
Number of classes she misses = y
Test score = T = 90
Equation
T = x/(ky)
General Equation
Solve for y before you do anything else.
Multiply the entire equation by ky
T*ky = x Divide Both sides by Tk
y *kT/kT = x / (Tk)
y = x / kT
Now put the numbers in
y = 6 / k*90
That looks pretty much like A. doesn't it?