In the linear rule (P(n)=40+6n), what is the initial value?
Answer and explanation
Correct answer: 40
The initial value is the value obtained when the independent variable is 0. Substituting \(n=0\), we get \(P(0)=40+6(0)=40\), so 40 is correct. The number 6 is the rate of increase (slope), not the initial value. Exam tip: In a rule of the form \(a+bn\), the constant term \(a\) is the initial value.
Frequently asked questions
What is the correct answer to this question?
40
Why is this the correct answer?
The initial value is the value obtained when the independent variable is 0. Substituting \(n=0\), we get \(P(0)=40+6(0)=40\), so 40 is correct. The number 6 is the rate of increase (slope), not the initial value. Exam tip: In a rule of the form \(a+bn\), the constant term \(a\) is the initial value.
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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