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If (X(t)=18+8t), what is the difference between (X(6)) and (X(0))?

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Answer and explanation

Correct answer: 48

Here, \(X(6)=18+8\times6=66\) and \(X(0)=18\). Therefore, the difference is \(66-18=48\). Option 66 is the value of \(X(6)\), not the difference. Exam tip: when finding the difference between two values of a linear expression \(a+bt\), the constant term \(a\) cancels out.

Related tags

Linear PolynomialsLinear GrowthFunction EvaluationDifferenceAlgebra

Frequently asked questions

What is the correct answer to this question?

48

Why is this the correct answer?

Here, \(X(6)=18+8\times6=66\) and \(X(0)=18\). Therefore, the difference is \(66-18=48\). Option 66 is the value of \(X(6)\), not the difference. Exam tip: when finding the difference between two values of a linear expression \(a+bt\), the constant term \(a\) cancels out.

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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