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The problem you're working on asks for a function representing the cost of photocopies based on a price scale depending on the number of copies, and how much it would cost for 45 photocopies.

Here’s the breakdown of the pricing:

- **For 20 or fewer photocopies**: Php 1.00 per photocopy.
- **For more than 20 but 50 or fewer photocopies**: Php 0.75 per photocopy.
- **For more than 50 photocopies**: Php 0.65 per photocopy.

### Step 1: Define the function based on these conditions

Let \( C(x) \) represent the total cost for \( x \) photocopies. The piecewise function can be written as:

\[
C(x) =
\begin{cases}
1.00x, & \text{if } x \leq 20 \\
0.75x, & \text{if } 20 < x \leq 50 \\
0.65x, & \text{if } x > 50
\end{cases}
\]

### Step 2: Calculate the cost for 45 photocopies

Since 45 photocopies fall under the second condition (\( 20 < x \leq 50 \)), we will use the equation \( C(x) = 0.75x \).

\[
C(45) = 0.75 \times 45 = 33.75
\]

### Final Answer:
The cost for 45 photocopies is **Php 33.75**.

Would you like more details on this process or have any questions?

Here are 5 related questions for practice:
1. How much would 15 photocopies cost?
2. What is the cost for 55 photocopies?
3. If you order 50 photocopies, how much will you pay?
4. Write the cost function for \( x \) photocopies if a different pricing scheme is applied.
5. How much will it cost if you order 30 photocopies?

**Tip:** When working with piecewise functions, always verify which interval your input falls into before applying the appropriate rule.

A photocopy shop charges Php1.00 per photocopy for orders of 20 or fewer photocopies, Php 0.75 per photocopy for orders of 50 or fewer but more than 20 photocopies and Php 0.65 per photocopy for orders of more than 50 photocopies. Write a function representing the cost (in pesos) for x number of photocopies. How much will you pay if you order 45 photocopies?

Learn how to calculate the cost of photocopies at a shop using a piecewise function. This problem involves pricing tiers based on the number of copies ordered. Step-by-step solution included for 45 photocopies, suitable for students in Grades 7-9.

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