MATH SOLVE

4 months ago

Q:
# Kiki wants to rent a bounce house for her daughter's party. The cost, y, to rent a bounce house for a number of hours, x, is shown in the table. The initial set-up fee is included in the cost.

Accepted Solution

A:

You have to make 2 equations

185 = 2(x) + y

X is the hours and y is the setup fee

315 = 4(x) + y

Now you solve the first

185 = 2x+y

185-y = 2x

(185-y)/2 = x

That means you can plug that value into the second equation where you see the x

315 = 4((185-y)/2) + y

315 = 370-2y + y

315 = 370 - y

-55 = - y

55 = y

So y is 55 (the setup fee)

Back to the original

185 = 2(x) + y

185 = 2(x) + 55

130 = 2x

65 = x

Now test it

575 = 8x + y

575 = 8(65) + 55

575 = Β 520 + 55

575 = 575

185 = 2(x) + y

X is the hours and y is the setup fee

315 = 4(x) + y

Now you solve the first

185 = 2x+y

185-y = 2x

(185-y)/2 = x

That means you can plug that value into the second equation where you see the x

315 = 4((185-y)/2) + y

315 = 370-2y + y

315 = 370 - y

-55 = - y

55 = y

So y is 55 (the setup fee)

Back to the original

185 = 2(x) + y

185 = 2(x) + 55

130 = 2x

65 = x

Now test it

575 = 8x + y

575 = 8(65) + 55

575 = Β 520 + 55

575 = 575