If the number of objects starts from (2) and increases by (3) each step, what is the correct rule after (x) steps?
Answer and explanation
Correct answer: \(y=2+3x\)
At the start, that is, when \(x=0\), the number is \(2\). Since \(3\) is added at every step, the total increase after \(x\) steps is \(3x\). Therefore, the rule is \(y=2+3x\). The expression \(y=2-3x\) represents decay, while \(y=3x-2\) has an initial value of \(-2\). Exam tip: in a linear rule, the constant term is the starting value and the coefficient of \(x\) is the change per step.
Frequently asked questions
What is the correct answer to this question?
\(y=2+3x\)
Why is this the correct answer?
At the start, that is, when \(x=0\), the number is \(2\). Since \(3\) is added at every step, the total increase after \(x\) steps is \(3x\). Therefore, the rule is \(y=2+3x\). The expression \(y=2-3x\) represents decay, while \(y=3x-2\) has an initial value of \(-2\). Exam tip: in a linear rule, the constant term is the starting value and the coefficient of \(x\) is 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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