If (y=25+kx) is linear growth and (k=0), what is correct about the statement?
Answer and explanation
Correct answer: It is not growth; it is a constant function
When k=0, y=25+0x=25. The value of y does not change as x changes, so this is a constant function, not growth. Linear growth requires k>0, whereas k<0 represents linear decay. Exam tip: In y=a+kx, k is the slope or rate of change; its sign indicates growth or decay.
Frequently asked questions
What is the correct answer to this question?
It is not growth; it is a constant function
Why is this the correct answer?
When k=0, y=25+0x=25. The value of y does not change as x changes, so this is a constant function, not growth. Linear growth requires k>0, whereas k<0 represents linear decay. Exam tip: In y=a+kx, k is the slope or rate of change; its sign indicates growth or decay.
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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