Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x. [tex]A.) 25x+200=35x+100\\\\[/tex]
take away 100 from both sides
[tex]25x+100=35x[/tex]
take away 25x from both sides
[tex]100=10x[/tex]
divide 10 from both sides so x can be by itself and equal to 1
[tex]10=x[/tex]
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub : [tex]y=25(6)+200\\y=350[/tex]
Kool Karate :[tex]y=35(6)+100\\y=310[/tex]
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:[tex]y= 25(12)+200\\y=500[/tex]
Kool Karate:[tex]y=35(12)+100\\y=520[/tex]
The cost for Karate Klub is cheaper, so that is what he should join.
