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Two models are (C(t)=80-4t) and (D(t)=70-2t). Which value is greater at (t=5)?

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Answer and explanation

Correct answer: Both values are equal

Substituting \(t=5\), we get \(C(5)=80-4(5)=60\) and \(D(5)=70-2(5)=60\). Hence, both models give the same value. Options A and B are incorrect because neither value is larger than the other. Exam tip: Substitute the given value of \(t\) into each expression before comparing them.

Related tags

Linear FunctionsLinear DecaySubstitutionComparing ExpressionsPolynomials

Frequently asked questions

What is the correct answer to this question?

Both values are equal

Why is this the correct answer?

Substituting \(t=5\), we get \(C(5)=80-4(5)=60\) and \(D(5)=70-2(5)=60\). Hence, both models give the same value. Options A and B are incorrect because neither value is larger than the other. Exam tip: Substitute the given value of \(t\) into each expression 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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