Liz has to rent a bounce house for her little cousin. When looked at the prices she wanted to compare the two. Rental #1 charges a flat fee of $1 with an additional cost of $2 for every hour. Rental #2 charges a flat fee of $3 with an additional cost of $1 for every hour.

2hours

Step-by-step explanation:

Step one:

given data

Rental #1

charges a flat fee of $1 with an additional cost of $2 for every hour

let the number of hours be x

the total charge

y= 1+2x1

Rental #2

charges a flat fee of $3 with an additional cost of $1 for every hour.

let the number of hours be x

the total charge

y= 3+1x2

equate 1 and 2

1+2x=3+x

collect like terms

1-3=x-2x

-2=-x

x=2hours

the solution is h=10 because you add 9 to each side of the equation.