Books in a library increase according to (B(n)=100+8n). What does the coefficient of (n) show?
Answer and explanation
Correct answer: An increase of 8 books at each step
In \(B(n)=100+8n\), the coefficient of \(n\) is 8. It means that the number of books increases by 8 whenever \(n\) increases by 1. The constant term 100 gives the initial number of books, not the growth rate. Exam tip: in a linear expression \(a+bn\), \(b\) represents the rate of change per unit of \(n\).
Frequently asked questions
What is the correct answer to this question?
An increase of 8 books at each step
Why is this the correct answer?
In \(B(n)=100+8n\), the coefficient of \(n\) is 8. It means that the number of books increases by 8 whenever \(n\) increases by 1. The constant term 100 gives the initial number of books, not the growth rate. Exam tip: in a linear expression \(a+bn\), \(b\) represents the rate of change per unit of \(n\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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