Question

A group of friends wants to go to the amusement park. They have no more than $710 to spend on parking and admission. Parking is $9, and tickets cost $10.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer
Multiple Choice Answers
710, is less than or equal to, 9, plus, 10, point, 7, 5, p710≤9+10.75p
710, is greater than or equal to, 10, point, 7, 5, plus, 9, p710≥10.75+9p
710, is less than or equal to, 10, point, 7, 5, plus, 9, p710≤10.75+9p
710, is greater than or equal to, 9, plus, 10, point, 7, 5, p710≥9+10.75p

Answer 1

To determine the maximum number of people \( p \) who can go to the amusement park, we need to consider the total costs of parking and admission.

The total cost includes parking, which is $9, plus the cost of tickets for \( p \) people, which is \( 10.75p \).

The inequality representing the total cost being less than or equal to $710 is:

\[
9 + 10.75p \leq 710
\]

This can be rearranged to:

\[
10.75p \leq 710 - 9
\]

which simplifies to:

\[
10.75p \leq 701
\]

So, the correct inequality is:

\[
710 \geq 9 + 10.75p
\]

This matches the option:

**710 ≥ 9 + 10.75p**

So the correct answer is:

710 ≥ 9 + 10.75p