In the linear rule (B(t)=130-8t), what is the rate of change per unit?
Answer and explanation
Correct answer: -8
In a linear rule, the coefficient of t gives the rate of change per unit. In B(t)=130-8t, the coefficient of t is -8, so B decreases by 8 whenever t increases by 1. The value 8 is only the magnitude of the decrease; the rate itself is -8. Exam tip: in a linear expression a+bt, the rate of change is always the coefficient b of t.
Frequently asked questions
What is the correct answer to this question?
-8
Why is this the correct answer?
In a linear rule, the coefficient of t gives the rate of change per unit. In B(t)=130-8t, the coefficient of t is -8, so B decreases by 8 whenever t increases by 1. The value 8 is only the magnitude of the decrease; the rate itself is -8. Exam tip: in a linear expression a+bt, the rate of change is always the coefficient b 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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