Which rule has initial value (42) and growth of (5) per step?
Answer and explanation
Correct answer: \(y=42+5x\)
A linear rule has the form \(y=a+bx\), where \(a\) is the initial value and \(b\) is the change per step. Here, \(a=42\) and \(b=+5\), so the rule is \(y=42+5x\). In option A, \(-5\) represents decay rather than growth. Exam tip: identify the constant term for the initial value and the coefficient of \(x\) for the rate of change.
Frequently asked questions
What is the correct answer to this question?
\(y=42+5x\)
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 change per step. Here, \(a=42\) and \(b=+5\), so the rule is \(y=42+5x\). In option A, \(-5\) represents decay rather than growth. Exam tip: identify the constant term for the initial value and the coefficient of \(x\) for the rate of change.
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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