Which rule has initial value (18) and growth rate (6)?
Answer and explanation
Correct answer: \(y=18+6x\)
A linear rule has the form \(y=a+bx\), where \(a\) is the initial value and \(b\) is the rate of growth or decay. In \(y=18+6x\), the constant term is \(18\) and the coefficient of \(x\) is \(+6\), so it represents growth. Option B has \(-6\), which represents decay. Exam tip: identify the constant term for the initial value and the coefficient of \(x\) for the rate.
Frequently asked questions
What is the correct answer to this question?
\(y=18+6x\)
Why is this the correct answer?
A linear rule has the form \(y=a+bx\), where \(a\) is the initial value and \(b\) is the rate of growth or decay. In \(y=18+6x\), the constant term is \(18\) and the coefficient of \(x\) is \(+6\), so it represents growth. Option B has \(-6\), which represents decay. Exam tip: identify the constant term for the initial value and the coefficient of \(x\) for the rate.
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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