In linear growth (y=a+bx), which statement is true about (b)?
Answer and explanation
Correct answer: \(b\) is positive
In \(y=a+bx\), \(b\) is the rate of change (slope) of \(y\) with respect to \(x\). In linear growth, \(y\) increases as \(x\) increases, so \(b>0\). A negative \(b\) represents linear decay, while \(b=0\) gives a constant value of \(y\). Exam tip: growth has a positive slope; decay has a negative slope.
Frequently asked questions
What is the correct answer to this question?
\(b\) is positive
Why is this the correct answer?
In \(y=a+bx\), \(b\) is the rate of change (slope) of \(y\) with respect to \(x\). In linear growth, \(y\) increases as \(x\) increases, so \(b>0\). A negative \(b\) represents linear decay, while \(b=0\) gives a constant value of \(y\). Exam tip: growth has a positive slope; decay has a negative 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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