If (y=85-kx) is linear decay and (k=0), what is correct about the statement?
Answer and explanation
Correct answer: It is not decay
Substituting \(k=0\) gives \(y=85-0x=85\). Thus, \(y\) does not decrease as \(x\) changes, so the relation is not linear decay. It is a constant function with slope \(0\). Option B describes the graph, but since the question asks what is correct about decay, A is the most appropriate answer. Exam tip: In \(y=a-kx\), decay occurs only when \(k>0\), because the slope \(-k\) is then negative.
Frequently asked questions
What is the correct answer to this question?
It is not decay
Why is this the correct answer?
Substituting \(k=0\) gives \(y=85-0x=85\). Thus, \(y\) does not decrease as \(x\) changes, so the relation is not linear decay. It is a constant function with slope \(0\). Option B describes the graph, but since the question asks what is correct about decay, A is the most appropriate answer. Exam tip: In \(y=a-kx\), decay occurs only when \(k>0\), because the slope \(-k\) is then negative.
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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