If (M(t)=m+5t) and (M(2)=25), what will (M(6)) be?
Answer and explanation
Correct answer: 45
Given \(M(t)=m+5t\). Substituting \(t=2\), we get \(M(2)=m+10=25\), so \(m=15\). Now, for \(t=6\), \(M(6)=15+5\times6=45\). Hence, 45 is correct. The nearby option 40 can result from incorrectly counting the growth; from \(t=2\) to \(t=6\), the increase is \(5\times4=20\). Exam tip: first use the given condition to find the unknown constant \(m\), then substitute the required value.
Frequently asked questions
What is the correct answer to this question?
45
Why is this the correct answer?
Given \(M(t)=m+5t\). Substituting \(t=2\), we get \(M(2)=m+10=25\), so \(m=15\). Now, for \(t=6\), \(M(6)=15+5\times6=45\). Hence, 45 is correct. The nearby option 40 can result from incorrectly counting the growth; from \(t=2\) to \(t=6\), the increase is \(5\times4=20\). Exam tip: first use the given condition to find the unknown constant \(m\), then substitute the required value.
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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