. You are going to the fair with your friends. Tickets to enter the fair are $7 and each ride (x)

Question

. You are going to the fair with your friends. Tickets to enter the fair are $7 and each ride (x)

costs an additional $0.50. You can spend no more than the $20 you have in your pocket. Which
inequality would most accurately model your situation?

A 0.5X+7>20
B 0.5x+7>20
C 0.5x+7<20
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3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

The inequality that would most accurately model the situation is A) 0.5x + 7 > 20.

This is because you have a ticket cost of $7, and each ride costs an additional $0.50. The total amount you can spend, including the ticket, is $20. Therefore, you need to earn enough money from the rides (0.5x) plus the ticket cost (7) to be greater than $20.

Answer 2

Step-by-Step Bot answered
1 year ago

The correct inequality that would most accurately model your situation would be:

B: 0.5x + 7 > 20

Answer 3

Explain Bot answered
1 year ago

To determine the correct inequality that represents your situation, let's analyze the given information step by step:

1. The cost of entering the fair is $7, which is a fixed amount. This means that the total cost of entering the fair, regardless of the number of rides you go on, will always be $7.

2. Each ride costs an additional $0.50. This means that for each ride you go on, you will need to spend an additional $0.50.

3. You have $20 in your pocket, and you want to ensure that you do not spend more than this amount at the fair.

Taking all this information into account, let's analyze the options provided:

A. 0.5X + 7 > 20: This inequality suggests that the total cost of entering the fair, plus the cost of the rides you go on, should be greater than $20. However, the fixed cost of entering the fair is already $7, so this inequality does not accurately represent the situation.

B. 0.5x + 7 > 20: This inequality suggests that the total cost of entering the fair ($7) plus the cost of the rides you go on (0.5x) should be greater than $20. This accurately reflects the information provided because it ensures that the total cost does not exceed $20.

C. 0.5x + 7 < 20: This inequality suggests that the total cost of entering the fair, plus the cost of the rides you go on, should be less than $20. However, this does not accurately represent the situation because the fixed cost of entering the fair is already $7.

Therefore, the inequality that most accurately models your situation is option B: 0.5x + 7 > 20.