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If (Y(t)=96-12t), what is the decrease from (Y(3)) to (Y(4))?

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Answer and explanation

Correct answer: 12

Y(3)=96-12(3)=60 and Y(4)=96-12(4)=48. Therefore, the decrease from 60 to 48 is 60-48=12. The term -12t means that Y decreases by 12 whenever t increases by 1; 24 would be the decrease over two steps. Exam tip: for consecutive values in a linear expression, use the magnitude of the coefficient of t.

Related tags

Linear DecayLinear FunctionConsecutive DifferencePolynomialsAlgebraic Expressions

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

Y(3)=96-12(3)=60 and Y(4)=96-12(4)=48. Therefore, the decrease from 60 to 48 is 60-48=12. The term -12t means that Y decreases by 12 whenever t increases by 1; 24 would be the decrease over two steps. Exam tip: for consecutive values in a linear expression, use the magnitude of the coefficient of t.

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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