To determine the maximum number of people, \( p \), that can go to the amusement park with no more than $710, considering the cost of parking and the cost of tickets per person, we need to set up an inequality to represent the scenario.
Let's use the following variables:
- \( p \): the number of people
- \( \$9 \): the parking fee (one-time cost)
- \( \$10.75 \): the cost of an admission ticket per person
The total amount spent \( S \) will be composed of the parking fee plus the product of the number of people and the cost per ticket. Therefore, we have:
\[ S = \$9 + p \times \$10.75 \]
Since the group of friends has no more than $710 to spend, this total amount \( S \) must be less than or equal to 710. So, we can write the inequality as:
\[ \$9 + p \times \$10.75 \leq \$710 \]
This inequality can now be used to determine the maximum number of people, \( p \), that can go to the amusement park without exceeding the budget of $710.
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?
1 answer
1 answer