If a quantity starts at (12) and increases by (5) each step, which rule represents it?
Answer and explanation
Correct answer: \(y=12+5x\)
The starting quantity is 12, so the constant term must be 12. Since the quantity increases by 5 at each step, the coefficient of x is +5. Therefore, the rule is \(y=12+5x\). In \(y=12-5x\), the quantity decreases, so it does not represent growth. Exam tip: In a linear rule, the starting value is the constant term and the change per step is the coefficient of x.
Frequently asked questions
What is the correct answer to this question?
\(y=12+5x\)
Why is this the correct answer?
The starting quantity is 12, so the constant term must be 12. Since the quantity increases by 5 at each step, the coefficient of x is +5. Therefore, the rule is \(y=12+5x\). In \(y=12-5x\), the quantity decreases, so it does not represent growth. Exam tip: In a linear rule, the starting value is the constant term and the change per step is the coefficient of x.
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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