Which rule has equal growth of (6) per step?
Answer and explanation
Correct answer: \(y=18+6x\)
In \(y=18+6x\), the coefficient of \(x\) is \(+6\). Therefore, whenever \(x\) increases by 1, \(y\) increases by 6, giving equal growth of 6 per step. In \(y=18-6x\), there is a decrease of 6 per step, while \(y=x^2+6\) does not have a constant rate of growth. Exam tip: In a linear rule \(y=a+bx\), \(b\) gives the change per step.
Frequently asked questions
What is the correct answer to this question?
\(y=18+6x\)
Why is this the correct answer?
In \(y=18+6x\), the coefficient of \(x\) is \(+6\). Therefore, whenever \(x\) increases by 1, \(y\) increases by 6, giving equal growth of 6 per step. In \(y=18-6x\), there is a decrease of 6 per step, while \(y=x^2+6\) does not have a constant rate of growth. Exam tip: In a linear rule \(y=a+bx\), \(b\) gives the change per step.
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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