If (M(t)=m+6t) and (M(3)=39), what will (M(8)) be?
Answer and explanation
Correct answer: 69
Given \(M(3)=39\), moving from \(t=3\) to \(t=8\) increases the input by 5. Since \(M(t)\) grows at a rate of 6 per unit, the total increase is \(5\times6=30\). Therefore, \(M(8)=39+30=69\). Option 72 would require an increase of 33, which does not match the given rate. Exam tip: for a linear function, change in output = rate × change in input.
Frequently asked questions
What is the correct answer to this question?
69
Why is this the correct answer?
Given \(M(3)=39\), moving from \(t=3\) to \(t=8\) increases the input by 5. Since \(M(t)\) grows at a rate of 6 per unit, the total increase is \(5\times6=30\). Therefore, \(M(8)=39+30=69\). Option 72 would require an increase of 33, which does not match the given rate. Exam tip: for a linear function, change in output = rate × change in input.
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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