If (y=18+kx) is linear growth and (k=0), what is correct about the statement?
Answer and explanation
Correct answer: It is constant, not growth
When (k=0), we get (y=18+0x=18). Thus, y does not change as x changes, so the function is constant and there is no growth. Decay would require a negative slope, i.e., (k<0). Exam tip: In (y=a+kx), use the sign of k to identify growth, decay, or a constant value.
Frequently asked questions
What is the correct answer to this question?
It is constant, not growth
Why is this the correct answer?
When (k=0), we get (y=18+0x=18). Thus, y does not change as x changes, so the function is constant and there is no growth. Decay would require a negative slope, i.e., (k<0). Exam tip: In (y=a+kx), use the sign of k to identify growth, decay, or a constant value.
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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