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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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