Question 1

Question

Kelly is attending a fall carnival with only $10. Admission into the carnival is $3 and each game inside the carnival costs $0.25.

Which inequality can be used to determine the maximum number games Kelly can play?

(1 point)
Responses

0.25x+3≤10
0 point 2 5 x plus 3 is less than or equal to 10

0.25x+3≥10
0 point 2 5 x plus 3 is greater than or equal to 10

0.25x+3<10
0.25x+3<10

0.25x+3>10
0 point 2 5 x plus 3 is greater than 10
Question 2
(1 point)
Kelly has enough money to play at most
games.
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Answer 1

Question 1

We need to set up an inequality to determine how many games Kelly can play. Kelly has a total of $10, spends $3 on admission, and each game costs $0.25.

1. She first spends $3 on admission, leaving her with:
   \( 10 - 3 = 7 \) dollars left.

2. If \( x \) is the number of games she wants to play, the cost for \( x \) games is \( 0.25x \).

So, the inequality for how much money she has left after paying for games would be:

\[ 0.25x + 3 \leq 10 \]

This can be rearranged or simplified to find \( x \):

Correct Response

0.25x + 3 ≤ 10

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Question 2

Now we need to determine the maximum number of games Kelly can play.

From the correct inequality \( 0.25x + 3 ≤ 10 \):

1. Subtract 3 from both sides: \[ 0.25x \leq 7 \]

2. Divide both sides by 0.25: \[ x \leq \frac{7}{0.25} = 28 \]

Kelly can play at most 28 games. So, the answer to Question 2 is:

Kelly has enough money to play at most 28 games.