Two models are (C(t)=100-6t) and (D(t)=85-3t). What is the correct comparison at (t=5)?
Answer and explanation
Correct answer: \(C(5)=D(5)\)
Substituting \(t=5\), we get \(C(5)=100-6\times5=70\) and \(D(5)=85-3\times5=70\). Therefore, the two model values are equal, so \(C(5)=D(5)\) is correct. They are not zero; their common value is 70. Exam tip: evaluate both expressions at the given value of \(t\) before comparing them.
Frequently asked questions
What is the correct answer to this question?
\(C(5)=D(5)\)
Why is this the correct answer?
Substituting \(t=5\), we get \(C(5)=100-6\times5=70\) and \(D(5)=85-3\times5=70\). Therefore, the two model values are equal, so \(C(5)=D(5)\) is correct. They are not zero; their common value is 70. Exam tip: evaluate both expressions at the given value of \(t\) before comparing them.
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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