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If (R(t)=b-10t) and (R(0)=75), what is (b)?

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Answer and explanation

Correct answer: 75

Given \(R(t)=b-10t\). Substituting \(t=0\) gives \(R(0)=b-10(0)=b\). Since \(R(0)=75\), \(b=75\). Option 65 could be the value of \(R(1)\), not the initial value. Exam tip: in a linear expression, substituting \(t=0\) gives the constant term, or initial value.

Related tags

PolynomialsLinear ExpressionInitial ValueLinear DecaySubstitution

Frequently asked questions

What is the correct answer to this question?

75

Why is this the correct answer?

Given \(R(t)=b-10t\). Substituting \(t=0\) gives \(R(0)=b-10(0)=b\). Since \(R(0)=75\), \(b=75\). Option 65 could be the value of \(R(1)\), not the initial value. Exam tip: in a linear expression, substituting \(t=0\) gives the constant term, or 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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