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Which rule has initial value (64) and decay rate (8)?

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Answer and explanation

Correct answer: \(y=64-8x\)

A linear decay rule has the form \(y=a-rx\), where \(a\) is the initial value and \(r\) is the decay rate. Substituting \(a=64\) and \(r=8\) gives \(y=64-8x\). Option A represents growth by 8, not decay. Exam tip: the initial value is the constant term, and decay has a negative coefficient of \(x\).

Related tags

Linear DecayLinear EquationsInitial ValueRate Of ChangePolynomials

Frequently asked questions

What is the correct answer to this question?

\(y=64-8x\)

Why is this the correct answer?

A linear decay rule has the form \(y=a-rx\), where \(a\) is the initial value and \(r\) is the decay rate. Substituting \(a=64\) and \(r=8\) gives \(y=64-8x\). Option A represents growth by 8, not decay. Exam tip: the initial value is the constant term, and decay has a negative coefficient of \(x\).

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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