Which rule represents linear growth?
Answer and explanation
Correct answer: \(y=12+5x\)
A linear rule has the form \(y=a+bx\). When \(b\) is positive, \(y\) increases at a constant rate as \(x\) increases. In \(y=12+5x\), the coefficient of \(x\) is \(5\), so it represents linear growth. \(y=30-2x\) is linear but represents decay because its coefficient is negative, while \(y=x^2+1\) is not linear. Exam tip: check the sign of the coefficient of \(x\) to identify linear growth.
Frequently asked questions
What is the correct answer to this question?
\(y=12+5x\)
Why is this the correct answer?
A linear rule has the form \(y=a+bx\). When \(b\) is positive, \(y\) increases at a constant rate as \(x\) increases. In \(y=12+5x\), the coefficient of \(x\) is \(5\), so it represents linear growth. \(y=30-2x\) is linear but represents decay because its coefficient is negative, while \(y=x^2+1\) is not linear. Exam tip: check the sign of the coefficient of \(x\) to identify linear growth.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
