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If (y=140-kx) is linear decay and (k=0), what is correct about the statement?

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Answer and explanation

Correct answer: It is not decay; y is constant

Substituting k=0 gives y=140-0x=140. Thus, y does not change when x changes, so the relation is neither growth nor decay; it is a constant function. For linear decay in y=140-kx, k must be positive so that the slope −k is negative. Exam tip: substitute the given value of k first and then check the slope.

Related tags

Linear FunctionsLinear DecayConstant FunctionZero RateSlopePolynomials

Frequently asked questions

What is the correct answer to this question?

It is not decay; y is constant

Why is this the correct answer?

Substituting k=0 gives y=140-0x=140. Thus, y does not change when x changes, so the relation is neither growth nor decay; it is a constant function. For linear decay in y=140-kx, k must be positive so that the slope −k is negative. Exam tip: substitute the given value of k first and then check the slope.

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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