High School

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Jason went to a carnival where he could go on all rides for a flat fee of $30, but he had to pay $2 for each arcade game he played. Jason spent a total of $44. How many arcade games did he play?

Answer :

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

[tex]A(n) = F + gn[/tex]

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that [tex]F = 30, g = 2[/tex]

So

[tex]A(n) = 30 + 2n[/tex]

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

[tex]A(n) = 30 + 2n[/tex]

[tex]44 = 30 + 2n[/tex]

[tex]2n = 14[/tex]

[tex]n = \frac{14}{2}[/tex]

[tex]n = 7[/tex]

He played 7 arcade games.

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