QuestionQuestion Show Examples
A group of friends wants to go to the amusement park. They have no more than $\$ 425$ to spend on parking and admission. Parking is $\$ 14.75$ , and tickets cost $\$ 18.75$ per person, including tax. Which inequality can be used to determine $x$ , the maximum number of people who can go to the amusement park?
Answer $425 \leq 18.75(x+14.75)$ Submit Answer $425 \geq 14.75+18.75 x$ $425 \leq 14.75+18.75 x$ $425 \geq 18.75(x+14.75)$

Studdy Solution

STEP 1

1. The total budget for the amusement park trip is no more than $425.<br />2. Parking costs$ 14.75.
3. Tickets cost $18.75 per person, including tax.
4. We need to find an inequality to determine \( x \), the maximum number of people who can go.

STEP 2

1. Understand the cost components.
2. Set up the inequality.
3. Simplify and interpret the inequality.

STEP 3

Understand the cost components.
The total cost includes a fixed parking cost of $14.75 and a variable cost of$ 18.75 per person for tickets.

STEP 4

Set up the inequality.
The total cost should be less than or equal to $425. Therefore, the inequality is:
$14.75 + 18.75x \leq 425$

STEP 5

Simplify and interpret the inequality.
The inequality $14.75 + 18.75x \leq 425$ represents the total cost being within the budget. This inequality can be used to solve for $x$ , the maximum number of people who can attend.
The correct inequality is:
$425 \geq 14.75 + 18.75x$
This corresponds to the option:
$425 \geq 14.75 + 18.75x$

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