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+ 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.

Respuesta :

chikafujiwara

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.

[tex]y=15x+10[/tex]

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.

[tex]y=20x[/tex]

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

[tex]y=15x+10[/tex]

[tex]y=20x[/tex]

[tex]20x=15x+10[/tex]

[tex]5x=10[/tex]

[tex]x=2[/tex]

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:

[tex]15*2=30[/tex]

[tex]30+10=40[/tex]

Scrapbooks Incorporated:

[tex]20*2=40[/tex]

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