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