Question

Please help me with this two questions

Answer 1

a.) 10 months

b.) Kool Karate

c.) Karate Klub

Explanation:

Karate Klub : y=25x+200

Kool Karate : y=35x+100

A.) First, set the equations equal to each other then solve for x.
`A.) 25x+200=35x+100\\\\`

take away 100 from both sides

`25x+100=35x`

take away 25x from both sides

`100=10x`

divide 10 from both sides so x can be by itself and equal to 1

`10=x`

This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

Karate Klub :
`y=25(6)+200\\y=350`

Kool Karate :
`y=35(6)+100\\y=310`

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:
`y= 25(12)+200\\y=500`

Kool Karate:
`y=35(12)+100\\y=520`

The cost for Karate Klub is cheaper, so that is what he should join.