If (E(t)=11+3t), what is the difference between (E(2)) and (E(3))?
Answer and explanation
Correct answer: 3
Given \(E(t)=11+3t\), we get \(E(2)=11+3(2)=17\) and \(E(3)=11+3(3)=20\). Therefore, the difference is \(20-17=3\). The value 6 would arise if \(t\) increased by 2, but here it increases only from 2 to 3. Exam tip: in a linear expression \(a+bt\), the difference between consecutive values is always \(b\).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Given \(E(t)=11+3t\), we get \(E(2)=11+3(2)=17\) and \(E(3)=11+3(3)=20\). Therefore, the difference is \(20-17=3\). The value 6 would arise if \(t\) increased by 2, but here it increases only from 2 to 3. Exam tip: in a linear expression \(a+bt\), the difference between consecutive values is always \(b\).
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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