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If (A(t)=50+7t) and (B(t)=92+4t), at what (t) will (A(t)) be (6) more than (B(t))?
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Answer and explanation
Correct answer: \(t=16\)
The condition is \(A(t)=B(t)+6\). So, \(50+7t=92+4t+6\), which gives \(3t=48\) and hence \(t=16\). Therefore, the correct option is \(t=16\). At \(t=14\), the difference is only \(50+98-(92+56)=0\), not 6. Exam tip: translate “6 more than” as \(A=B+6\).
Frequently asked questions
What is the correct answer to this question?
\(t=16\)
Why is this the correct answer?
The condition is \(A(t)=B(t)+6\). So, \(50+7t=92+4t+6\), which gives \(3t=48\) and hence \(t=16\). Therefore, the correct option is \(t=16\). At \(t=14\), the difference is only \(50+98-(92+56)=0\), not 6. Exam tip: translate “6 more than” as \(A=B+6\).
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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