If (T(t)=30+2t), when will (T(t)=46)?
Answer and explanation
Correct answer: \(t=8\)
Given \(T(t)=30+2t\) and \(T(t)=46\), set \(30+2t=46\). This gives \(2t=16\), so \(t=8\). Therefore, \(t=8\) is correct. For example, substituting \(t=6\) gives \(T(t)=42\), not 46. Exam tip: equate the function to the required target value first, then solve the linear equation for \(t\).
Frequently asked questions
What is the correct answer to this question?
\(t=8\)
Why is this the correct answer?
Given \(T(t)=30+2t\) and \(T(t)=46\), set \(30+2t=46\). This gives \(2t=16\), so \(t=8\). Therefore, \(t=8\) is correct. For example, substituting \(t=6\) gives \(T(t)=42\), not 46. Exam tip: equate the function to the required target value first, then solve the linear equation for \(t\).
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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