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If (y=200-kx) and (y=136) at (x=8), what is (k)?

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Answer and explanation

Correct answer: 8

At \(x=8\), the value of \(y\) is 136. Substituting in the equation gives \(136=200-8k\). Hence, \(8k=64\), so \(k=8\). Note that 64 is the value of \(8k\), not of \(k\). Exam tip: Substitute the given values first, then isolate the unknown term carefully.

Related tags

Linear EquationsPolynomialsParameter ValueSubstitutionLinear Decay

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

At \(x=8\), the value of \(y\) is 136. Substituting in the equation gives \(136=200-8k\). Hence, \(8k=64\), so \(k=8\). Note that 64 is the value of \(8k\), not of \(k\). Exam tip: Substitute the given values first, then isolate the unknown term carefully.

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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