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In the linear rule (A(n)=22+4n), what is the initial value?

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Answer and explanation

Correct answer: 22

The initial value is the value when the independent variable is zero. Putting \(n=0\), we get \(A(0)=22+4(0)=22\), so 22 is correct. Here, 4 is the rate of increase per unit of \(n\), while 26 is the value at \(n=1\). Exam tip: In a linear rule \(a+bn\), the initial value is the constant term \(a\).

Related tags

Linear GrowthInitial ValueLinear RuleSubstitutionPolynomials

Frequently asked questions

What is the correct answer to this question?

22

Why is this the correct answer?

The initial value is the value when the independent variable is zero. Putting \(n=0\), we get \(A(0)=22+4(0)=22\), so 22 is correct. Here, 4 is the rate of increase per unit of \(n\), while 26 is the value at \(n=1\). Exam tip: In a linear rule \(a+bn\), the initial value is the constant term \(a\).

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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