Math Problem Statement

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=5x+110, how many books is the school adding to the library each month?

Solution

The given equation is:

y=5x+110y = 5x + 110

Here:

  • yy represents the total number of books in the library after xx months.
  • xx represents the number of months.
  • 110 represents the initial number of books in the library.

The coefficient of xx, which is 5, represents how many books the principal is adding to the library each month. Therefore, the school is adding 5 books each month to the library.


Would you like more details or have any questions about this?

Here are 5 related questions to consider:

  1. How many books will the library have after 12 months?
  2. What was the number of books in the library before the principal started adding more books?
  3. How many months will it take for the library to reach 200 books?
  4. If the principal adds 8 books per month instead of 5, how would the equation change?
  5. How would the total number of books change if the school starts with 150 books instead of 110?

Tip: The coefficient in a linear equation often represents the rate of change or growth!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8