Question

Please help me with this two questions

Answer 1

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. $A.) 25x+200=35x+100$

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.