Question

+ it? Do this problem to find out.

. Creative Crafts gives
scrapbooking lessons
for $15 per hour plus
a $10 supply charge.
Scrapbooks Incorporated
gives lessons for $20 per
hour with no additional
charges. Write and solve a
system of equations that
represents the situation.
Interpret the solution.

Answer 1

Creative Crafts

Creative Crafts has a $10 supply charge, which means that no matter how long we spend learning scrap booking, we'll always pay at least $10. This represents our y-intercept, which can be used in our equation. Creative Crafts also charge $15 per hour, which represents our slope. Using this information we can make an equation.

`y=15x+10`

Scrapbooks Incorporated charges $20 per hour, which represents our slope. Since Scrapbooks Incorporated charges no down payment, the y intercept is at the origin, or 0. Using this information, we can make an equation.

`y=20x`

To solve the system of equations, we can substitute the second equation into the first equation.

`y=15x+10`

`y=20x`

`20x=15x+10`

`5x=10`

`x=2`

x equals 2, which means 2 hours. In the context of the problem that represents the number of hours it takes for the two classes to charge the same amount of money.

Creative Crafts:

`15*2=30`

`30+10=40`

Scrapbooks Incorporated:

`20*2=40`