Question

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

Answer 1

He played 7 arcade games.

Explanation:

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

`A(n) = F + gn`

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
`F = 30, g = 2`

So

`A(n) = 30 + 2n`

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

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

`A(n) = 30 + 2n`

`44 = 30 + 2n`

`2n = 14`

`n = (14)/(2)`

`n = 7`

He played 7 arcade games.