Answer:
(A) [tex]-\frac{1}{4}x+300=-50[/tex]
Step-by-step explanation:
I "reversed" this problem to find the equation that works for it.
The balance was originally $300. If he's now at a balance of -50$ after paying off [tex]\frac{1}{4}[/tex] of his bills, then [tex]\frac{1}{4}[/tex] of his bills are $350, since [tex]300 - (-50) = 350[/tex].
If [tex]\frac{1}{4}[/tex] of his bills are $350, then his full bill is [tex]350\cdot4=1400[/tex]$.
So I tested each equation, where [tex]x=1400[/tex] to see if the equation worked out.
For a:
[tex]-\frac{1}{4}x + 300 = -50\\\\-\frac{1}{4}\cdot1400 + 300 = -50\\\\-350 + 300 = -50[/tex]
-350 + 300 is indeed -50, so I knew this equation works.
Hope this helped!
