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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!