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Members in a club are (M(w)=60+4w). After how many weeks will the members be (100)?

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Answer and explanation

Correct answer: \(w=10\)

Set the number of members equal to 100: \(60+4w=100\). Thus, \(4w=40\), so \(w=10\). If \(w=9\), the membership would be \(60+4(9)=96\), not 100. Exam tip: In a linear expression, substitute the target value first and then isolate the variable term.

Related tags

Linear EquationsPolynomialsWord ProblemsGrowth RateSolving Equations

Frequently asked questions

What is the correct answer to this question?

\(w=10\)

Why is this the correct answer?

Set the number of members equal to 100: \(60+4w=100\). Thus, \(4w=40\), so \(w=10\). If \(w=9\), the membership would be \(60+4(9)=96\), not 100. Exam tip: In a linear expression, substitute the target value first and then isolate the variable term.

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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