A school principal decides to buy a certain number of books on the first day of each month to add to the books the school already has. If the number of books in the school library can be represented by the equation *y*=4*x*+190, how many books is the school adding to the library each month?

The equation given is:

\[
y = 4x + 190
\]

Here:
- \( y \) represents the total number of books in the library,
- \( x \) represents the number of months that have passed since the start of the book purchases.

The equation is in the form of a linear function, \( y = mx + b \), where:
- \( m \) (the coefficient of \( x \)) represents the rate of change, or how many books are added each month,
- \( b \) represents the initial number of books in the library.

In this case, the coefficient of \( x \) is 4, which means the school is adding **4 books** to the library each month.

Would you like more details or have any questions?

Here are five questions to explore the concept further:
1. How many books will the school have after 10 months?
2. If the principal decides to increase the number of books purchased each month to 6, how would the equation change?
3. How many books were in the library before the school started adding new ones?
4. How long will it take to reach a total of 250 books in the library?
5. What is the significance of the number 190 in this equation?

**Tip:** In a linear equation, the coefficient of the variable represents the rate of change in the quantity over time.

A school principal decides to buy a certain number of books on the first day of each month to add to the books the school already has. If the number of books in the school library can be represented by the equation y = 4x + 190, how many books is the school adding to the library each month?

Discover how to solve the linear equation y = 4x + 190 to find out how many books a school principal is adding to the library each month. This example demonstrates key algebraic concepts such as the slope-intercept form and how to calculate the rate of change. Suitable for students in Grades 6-8.

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