If (T(t)=42+3t), when will (T(t)=72)?
Answer and explanation
Correct answer: \(t=10\)
Given \(T(t)=42+3t\), set the target value equal to 72: \(42+3t=72\). Thus, \(3t=30\), so \(t=10\). Therefore, \(t=10\) is correct. The closest distractor, \(t=9\), gives \(T(9)=42+27=69\), not 72. Exam tip: Substitute the required output value into the function and solve the resulting linear equation.
Frequently asked questions
What is the correct answer to this question?
\(t=10\)
Why is this the correct answer?
Given \(T(t)=42+3t\), set the target value equal to 72: \(42+3t=72\). Thus, \(3t=30\), so \(t=10\). Therefore, \(t=10\) is correct. The closest distractor, \(t=9\), gives \(T(9)=42+27=69\), not 72. Exam tip: Substitute the required output value into the function and solve the resulting linear equation.
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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