If a box has (40) candies and (5) decrease each day, which rule represents it?
Answer and explanation
Correct answer: \(c(d)=40-5d\)
The box starts with 40 candies, so the constant term must be 40. Since 5 candies are removed each day, the daily change is \(-5\). Therefore, after \(d\) days, the number of candies is \(c(d)=40-5d\). The rule \(c(d)=40+5d\) represents an increase, not a decrease. Exam tip: in a linear rule, the constant term is the initial value and a decrease has a negative slope.
Frequently asked questions
What is the correct answer to this question?
\(c(d)=40-5d\)
Why is this the correct answer?
The box starts with 40 candies, so the constant term must be 40. Since 5 candies are removed each day, the daily change is \(-5\). Therefore, after \(d\) days, the number of candies is \(c(d)=40-5d\). The rule \(c(d)=40+5d\) represents an increase, not a decrease. Exam tip: in a linear rule, the constant term is the initial value and a decrease has a negative slope.
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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