\( \mathrm{m} / \mathrm{app} / \) student/3722842/26677326/a37eae233c55e5d38e58bb4fcid 28 cd Question Watch Video Show Examples A group of friends wants to go to the amusement park. They have no more than \( \$ 85 \) to spend on parking and admission. Parking is \( \$ 9.75 \), and tickets cost \( \$ 10.75 \) per person, including tax. Use the drop-down menu below to write an inequality representing \( p \), the number of people who can go to the amusement park. Answer Attempt 2 out of 2

To figure out how many friends can join the amusement park adventure while staying within that budget, you can set up your inequality like this: First, you know the parking costs \( \$9.75 \), so that’s a fixed amount. Then, with each ticket costing \( \$10.75 \) for \( p \) people, the total cost becomes: \( 9.75 + 10.75p \). To stay under that budget of \( \$85 \), our inequality looks like this: \[ 9.75 + 10.75p \leq 85 \] Now, let’s simplify this a bit! Subtract \( 9.75 \) from both sides, yielding: \[ 10.75p \leq 75.25 \] And divide both sides by \( 10.75 \) to isolate \( p \): \[ p \leq 7 \] So, a maximum of 7 friends can enjoy the fun without breaking the bank! When it comes to planning a day out, budgeting properly can make or break the experience. First, make sure to account for all potential expenses, including food, souvenirs, and any unexpected fees. A common mistake is underestimating how quickly costs can add up—double-check the math and plan ahead to ensure a worry-free day full of fun!