In the linear rule (P(t)=80-5t), what is the rate of change per unit?
Answer and explanation
Correct answer: -5
In the linear expression P(t)=80-5t, the coefficient of t is -5. Therefore, when t increases by 1 unit, P decreases by 5 units, so the rate of change is -5. The value 5 gives only the magnitude of the decrease; the negative sign shows that the value is decreasing. Exam tip: In a linear rule of the form ax+b, a is the rate of change.
Frequently asked questions
What is the correct answer to this question?
-5
Why is this the correct answer?
In the linear expression P(t)=80-5t, the coefficient of t is -5. Therefore, when t increases by 1 unit, P decreases by 5 units, so the rate of change is -5. The value 5 gives only the magnitude of the decrease; the negative sign shows that the value is decreasing. Exam tip: In a linear rule of the form ax+b, a is the rate of change.
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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