Which rule has initial value (33) and growth rate (4)?
Answer and explanation
Correct answer: \(y=33+4x\)
A linear rule has the form \(y=a+bx\), where \(a\) is the initial value and \(b\) is the growth rate. In \(y=33+4x\), the constant term is \(33\) and the coefficient of \(x\) is \(+4\), so it is the correct rule. Although \(y=33-4x\) starts at 33, its rate is \(-4\), which represents decay rather than growth. Exam tip: put \(x=0\) to identify the initial value, and check the coefficient of \(x\) for the growth or decay rate.
Frequently asked questions
What is the correct answer to this question?
\(y=33+4x\)
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 growth rate. In \(y=33+4x\), the constant term is \(33\) and the coefficient of \(x\) is \(+4\), so it is the correct rule. Although \(y=33-4x\) starts at 33, its rate is \(-4\), which represents decay rather than growth. Exam tip: put \(x=0\) to identify the initial value, and check the coefficient of \(x\) for the growth or decay 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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