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In the linear rule (C(d)=15+2d), what is the initial value?

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Answer and explanation

Correct answer: 15

The initial value is the value when the independent variable is 0. Here, putting d=0 gives C(0)=15+2(0)=15, so the correct answer is 15. The number 2 is the coefficient of d; it represents the rate of increase per unit, not the initial value. Exam tip: in the form y=a+bx, a is the initial value.

Related tags

Linear EquationsInitial ValuePolynomialsSubstitutionLinear Growth

Frequently asked questions

What is the correct answer to this question?

15

Why is this the correct answer?

The initial value is the value when the independent variable is 0. Here, putting d=0 gives C(0)=15+2(0)=15, so the correct answer is 15. The number 2 is the coefficient of d; it represents the rate of increase per unit, not the initial value. Exam tip: in the form y=a+bx, a is the initial 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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