https://file.aiquickdraw.com/mathbot/file/1726150843400j008yx6h.jpg

Let's work through the problem step by step.

### Problem 1

#### Given information:
- The museum charges **$40** for a group of **10 or fewer people**.
- For groups with more than 10 people, in addition to the **$40**, there is an additional charge of **$2 per person** for each person above 10.
- The maximum group size is **50**.

---

### Part (a) 
**How much does a group of 16 pay?**

- The

A private museum charges $40 for a group of 10 or fewer people. A group consisting of more than 10 people must, in addition to the $40, pay $2 per person for the number of people above 10. The maximum group size is 50.
(a) How much does a group of 16 pay?
(b) Find a formula for the cost function.
(c) What are the domain and range of the cost function?

Explore the cost function for a private museum charging $40 for groups of 10 or fewer people, with an additional $2 per person for groups larger than 10. This problem includes calculating the cost for a group of 16, deriving a formula for the cost function, and determining its domain and range. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation