Identify the information given to you in the application problem below.
Use that information to answer the questions that follow.

*Round your answers to two decimal places as needed.*

The function P(n)=425n-11475 represents a computer manufacturer's profit P(n) when n computers are sold.

Identify the rate of change, and complete the following sentence to explain its meaning in this situation.

Rate of Change: 

The company earns $ per computer sold.

The given function representing the computer manufacturer's profit is:

\[
P(n) = 425n - 11475
\]

### Rate of Change:
The rate of change in a linear function like this is represented by the coefficient of $n$, which is the number multiplying $n$. In this case, the rate of change is **425**.

### Explanation:
The rate of change means that the company earns **$425** for each computer sold. This is because the term $425n$ indicates that for every additional computer sold, the profit increases by $425.

Thus, the sentence can be completed as follows:

"The company earns **$425** per computer sold."

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Would you like further details or explanations on any part of this?

Here are 5 follow-up questions:
1. How would you calculate the total profit if 30 computers were sold?
2. What does the constant term -11475 in the equation represent in this context?
3. How would the profit function change if the company increased its earnings to $500 per computer?
4. What is the profit if the company sells 50 computers?
5. How many computers must the company sell to break even (where profit equals zero)?

**Tip:** The rate of change in a linear function provides insight into how one variable affects another directly, and it's useful in understanding trends and predictions.

Identify the information given to you in the application problem below. Use that information to answer the questions that follow. *Round your answers to two decimal places as needed.* The function P(n)=425n-11475 represents a computer manufacturer's profit P(n) when n computers are sold. Identify the rate of change, and complete the following sentence to explain its meaning in this situation. Rate of Change: The company earns $ per computer sold.

Learn how to analyze a linear profit function, P(n) = 425n - 11475, where the rate of change indicates a profit of $425 per computer sold. This problem covers key algebraic concepts and is suitable for students in Grades 9-10.

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