Question

At a state fair, there is a game where you throw a ball at a pyramid of cans. If you knock over all of the cans, you win a prize. The cost is 3 throws for $1, but if have you an armband, you get 6 throws for $1. The armband costs $10.

i. Write two cost equations for the game in terms of the number of throws purchased, one without an armband and one with.

Answer 1

`y=(1)/(3)x`

`y=(1)/(6)x+10`

Explanation:

Let x be the number of throws and y be the cost

Without armband case

The cost for 3 throws is $1

The cost for 1 throws is
`(1)/(3)`

The cost for x throws is
`(1)/(3)x`

So,
`y=(1)/(3)x` is the equation for the game in terms of the number of throws purchased without an armband

With armband case

The cost for 6 throws is $1

The cost for 1 throws is
`(1)/(6)`

The cost for x throws is
`(1)/(6)x`

Cost of Arm band is $10

So, Total cost for x throws with arm band =
`(1)/(6)x+10`

So,
`y=(1)/(6)x+10`is the equation for the game in terms of the number of throws purchased with an armband