Admission price to Enhcanted Kingdom park is Php 600 per person. The average patron attending EK spends about Php 500 on food, drinks, games, and souvenirs. Find the function notation that accurately describes this situation.

Question 18Select one:

a.
E(x) = 600x + 500

b.
E(x) = (600x + 500)x

c.
E(x) = (600 + 500)x

d.
E(x) = 600 + 500x

To analyze this problem, we need to find the function that describes the total expenditure of a patron visiting Enchanted Kingdom, including both the admission price and other expenses like food, drinks, games, and souvenirs.

### Breakdown:
- The admission price is Php 600 per person.
- The average patron spends Php 500 on other expenses.

If \( x \) represents the number of patrons, the total cost for \( x \) patrons would be:

- Admission cost: \( 600x \) (since each person pays Php 600)
- Additional expenses: \( 500x \) (each person spends Php 500 on food, drinks, etc.)

Thus, the total expenditure \( E(x) \) for \( x \) patrons is the sum of both components:
\[
E(x) = 600x + 500x = (600 + 500)x
\]

The correct function is:
\[
E(x) = (600 + 500)x
\]
This matches option **c**.

### Answer:  
**c. E(x) = (600 + 500)x**

---

Do you want more details or have any questions? Here are some related questions to expand on this topic:

1. How would the function change if the admission price increased to Php 700?
2. If the total number of patrons is 100, what is the total expenditure?
3. What happens to the total expenditure if the additional expenses are reduced to Php 400 per person?
4. How can we express the total expenditure if a discount on admission is given for groups?
5. How would the function change if the food and souvenirs were a fixed cost instead of a per-person rate?

**Tip**: When analyzing problems like these, break them down into components and think of how each variable influences the total.

Admission price to Enchanted Kingdom park is Php 600 per person. The average patron attending EK spends about Php 500 on food, drinks, games, and souvenirs. Find the function notation that accurately describes this situation.

Question 18Select one:

a. E(x) = 600x + 500
b. E(x) = (600x + 500)x
c. E(x) = (600 + 500)x
d. E(x) = 600 + 500x

Learn how to find the total expenditure function for visiting Enchanted Kingdom park. The admission price is Php 600 per person, with an additional average spend of Php 500 per patron. This problem covers key algebra concepts related to linear functions and word problems, suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation