https://file.aiquickdraw.com/mathbot/file/17261435116552o64afp7.jpg

The image describes a scenario where students are tasked with constructing a mathematical model using functions based on a real-life situation at a computer shop. The key details of the scenario are:

- The computer shop charges 30 pesos for the first two hours.
- For every succeeding hour, an additional charge of 20 pesos is added.

Now, based on the questions:

1. **What is the given?**
   - a. 30 pesos for the first two hours.
   - b. 20 pesos for each succeeding hour.

2. **Write the number sentence:** This could refer to creating an equation or mathematical expression for the total cost \( C \) in terms of the number of hours \( h \):
   \[
   C(h) = 
   \begin{cases} 
   30, & \text{if } 0 \leq h \leq 2 \\
   30 + 20(h - 2), & \text{if } h > 2
   \end{cases}
   \]
   This function captures that the first two hours cost 30 pesos, and for every hour beyond two, an additional 20 pesos is added.

3. **Write the intervals:** This refers to specifying the time intervals for the charges:
   - a. For the first two hours: \( 0 \leq h \leq 2 \)
   - b. For hours after two: \( h > 2 \)

Would you like further clarification or more detailed explanations?

Here are 5 related questions to deepen understanding:

1. How would the equation change if the shop charged differently for the first hour?
2. What happens to the cost if the customer uses the computer for exactly 3 hours?
3. Can you express the total cost as a linear function if the minimum time is more than 2 hours?
4. How would this function change if the shop introduced a flat-rate option after a certain number of hours?
5. How does the piecewise function reflect the different pricing strategies?

**Tip:** Understanding piecewise functions helps model scenarios where different rules apply in different situations, like pricing schemes.

A computer shop operates and charges 30 pesos for the first two hours, but for the succeeding hours, an additional charge of 20 pesos per hour is added. Students are tasked to model this situation with functions, answering questions such as: What is the given? Write the number sentence. Write the intervals.

Learn how to model a computer shop's charging system using piecewise functions. The first two hours cost 30 pesos, with each additional hour costing 20 pesos. This problem introduces key concepts in algebra and piecewise functions, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation