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?
0.5x+7 > 20
b) 0.5x+7> 20
0.5x+7 < 20
d) 0.5x+7< 20
a) 0.5x + 7 > 20
The correct inequality that would accurately model your situation is:
b) 0.5x + 7 > 20
To determine the correct inequality that models the given situation, we need to consider the total amount of money spent.
Let's break it down:
The entrance ticket costs $7, and each ride costs an additional $0.50. So, the total amount spent at the fair will be the sum of the entrance ticket and the cost of the rides, which can be represented as 0.5x + 7.
However, you cannot spend more than the $20 you have in your pocket. Therefore, the total amount spent (0.5x + 7) should be less than or equal to $20.
So, the correct inequality that models the situation is: 0.5x + 7 ≤ 20.
Therefore, the answer is (c) 0.5x + 7 ≤ 20.