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Jeremiah is going to the local arcade. He plans to bowl one game and play some arcade games. He has $32 in his wallet to spend. A game of bowling costs $11, the shoe rental is $3.75, and the arcade games cost $0.75 each.

Which inequality best represents the number of arcade games Jeremiah can play?

Let [tex]x[/tex] be the number of arcade games Jeremiah can play.

\[11 + 3.75 + 0.75x \leq 32\]

Answer :

Final answer:

The inequality representing the number of arcade games Jeremiah can play is 0.75n <= 23.

Explanation:

To find the inequality that represents the number of arcade games Jeremiah can play, we need to subtract the cost of bowling and shoe rental from the total amount of money he has. So, the inequality is:

0.75n <= 32 - 11 - 3.75

where 'n' represents the number of arcade games Jeremiah can play. We subtract $11 for bowling, $3.75 for shoe rental, and then solve the inequality to find the maximum number of arcade games he can play.

Let's solve the inequality:

0.75n <= 17.25

Divide both sides of the inequality by 0.75:

n <= 23

So, the maximum number of arcade games Jeremiah can play is 23.

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