If (A(t)=12+3t) and (B(t)=18+2t), at what (t) will (A(t)) be (4) more than (B(t))?
Answer and explanation
Correct answer: \(t=10\)
“\(A(t)\) is 4 more than \(B(t)\)” means \(A(t)=B(t)+4\). Thus, \(12+3t=18+2t+4\), which gives \(t=10\). Checking: \(A(10)=42\) and \(B(10)=38\), so the difference is 4. At \(t=9\), the difference is only 3. Exam tip: For “more than” questions, first write the difference as \(A(t)-B(t)\).
Frequently asked questions
What is the correct answer to this question?
\(t=10\)
Why is this the correct answer?
“\(A(t)\) is 4 more than \(B(t)\)” means \(A(t)=B(t)+4\). Thus, \(12+3t=18+2t+4\), which gives \(t=10\). Checking: \(A(10)=42\) and \(B(10)=38\), so the difference is 4. At \(t=9\), the difference is only 3. Exam tip: For “more than” questions, first write the difference as \(A(t)-B(t)\).
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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