If (A(t)=20+4t) and (B(t)=35+3t), at what (t) will (A(t)) be (5) more than (B(t))?
Advertisement
Answer and explanation
Correct answer: \(t=20\)
“\(A(t)\) is 5 more than \(B(t)\)” means \(A(t)=B(t)+5\). Thus, \(20+4t=35+3t+5\), which gives \(t=20\). At \(t=18\), the difference is only \(3\), so it is close but not correct. Exam tip: In “more than” questions, first write the difference as \(A(t)-B(t)\).
Frequently asked questions
What is the correct answer to this question?
\(t=20\)
Why is this the correct answer?
“\(A(t)\) is 5 more than \(B(t)\)” means \(A(t)=B(t)+5\). Thus, \(20+4t=35+3t+5\), which gives \(t=20\). At \(t=18\), the difference is only \(3\), so it is close but not correct. Exam tip: In “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.
Advertisement