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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.

Respuesta :

Answer:

[tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{6}x+10[/tex]

Step-by-step 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 [tex]\frac{1}{3}[/tex]

The cost for x throws is [tex]\frac{1}{3}x[/tex]

So,[tex]y=\frac{1}{3}x[/tex] 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 [tex]\frac{1}{6}[/tex]

The cost for x throws is [tex]\frac{1}{6}x[/tex]

Cost of Arm band is $10

So, Total cost for x throws with arm band = [tex]\frac{1}{6}x+10[/tex]

So, [tex]y=\frac{1}{6}x+10[/tex]is the equation for the game in terms of the number of throws purchased with an armband

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