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If (Z(t)=16+9t), what is the growth rate?

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Answer and explanation

Correct answer: 9

In a linear expression \(Z(t)=a+bt\), the coefficient \(b\) of \(t\) represents the growth rate. Here, the coefficient of \(t\) is \(9\), so the growth rate is 9. The number \(16\) is the initial value, not the growth rate. Exam tip: In a linear function, identify the number multiplying the variable.

Related tags

Linear GrowthGrowth RateCoefficientPolynomialsLinear Expression

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

In a linear expression \(Z(t)=a+bt\), the coefficient \(b\) of \(t\) represents the growth rate. Here, the coefficient of \(t\) is \(9\), so the growth rate is 9. The number \(16\) is the initial value, not the growth rate. Exam tip: In a linear function, identify the number multiplying the variable.

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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