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A student's solved questions increase as (Q(w)=30+8w). How many questions will there be at (w=5)?

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Answer and explanation

Correct answer: 70

Given \(Q(w)=30+8w\). Substituting \(w=5\), \(Q(5)=30+8\times5=30+40=70\). Therefore, the student will have solved 70 questions. Option 40 represents only \(8\times5\) and misses the initial 30 questions. Exam tip: after substituting a value in a linear expression, multiply first and then add or subtract.

Related tags

Linear GrowthLinear ExpressionSubstitutionPolynomialsWord Problem

Frequently asked questions

What is the correct answer to this question?

70

Why is this the correct answer?

Given \(Q(w)=30+8w\). Substituting \(w=5\), \(Q(5)=30+8\times5=30+40=70\). Therefore, the student will have solved 70 questions. Option 40 represents only \(8\times5\) and misses the initial 30 questions. Exam tip: after substituting a value in a linear expression, multiply first and then add or subtract.

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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