If (V(t)=90-15t), what is the magnitude of the decay rate?
Answer and explanation
Correct answer: 15
In the linear expression \(V(t)=90-15t\), the coefficient of \(t\), \(-15\), represents the rate of change. The negative sign shows that \(V\) is decreasing. The magnitude of the decay rate is \(|-15|=15\), so 15 is correct. \(-15\) gives the direction of change, not its magnitude. Exam tip: use the absolute value to find the magnitude of a rate.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
In the linear expression \(V(t)=90-15t\), the coefficient of \(t\), \(-15\), represents the rate of change. The negative sign shows that \(V\) is decreasing. The magnitude of the decay rate is \(|-15|=15\), so 15 is correct. \(-15\) gives the direction of change, not its magnitude. Exam tip: use the absolute value to find the magnitude of a rate.
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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