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If (R(t)=b-4t) and (R(0)=25), what is (b)?

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Answer and explanation

Correct answer: 25

Given (R(t)=b-4t), substituting (t=0) gives (R(0)=b-4(0)=b). Since (R(0)=25), we get (b=25). The value 21 would be obtained at (t=1), not at the initial time. Exam tip: To find the constant term in a linear expression, often substitute 0 for the independent variable.

Related tags

PolynomialsLinear ExpressionInitial ValueSubstitutionLinear Decay

Frequently asked questions

What is the correct answer to this question?

25

Why is this the correct answer?

Given (R(t)=b-4t), substituting (t=0) gives (R(0)=b-4(0)=b). Since (R(0)=25), we get (b=25). The value 21 would be obtained at (t=1), not at the initial time. Exam tip: To find the constant term in a linear expression, often substitute 0 for the independent 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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