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Class 9MathematicsIntroduction to PolynomialsLinear growth and decayEasyLevel 39
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If (T(t)=100-12t), what is the value of (T(1)-T(3))?

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Answer and explanation

Correct answer: 24

Given \(T(t)=100-12t\), \(T(1)=100-12=88\) and \(T(3)=100-36=64\). Hence, \(T(1)-T(3)=88-64=24\). Option A, 12, is only the decrease per unit time; the interval from 1 to 3 is 2 units. Exam tip: Find each function value separately before subtracting them.

Related tags

Linear FunctionLinear DecayFunction EvaluationPolynomialsDifference

Frequently asked questions

What is the correct answer to this question?

24

Why is this the correct answer?

Given \(T(t)=100-12t\), \(T(1)=100-12=88\) and \(T(3)=100-36=64\). Hence, \(T(1)-T(3)=88-64=24\). Option A, 12, is only the decrease per unit time; the interval from 1 to 3 is 2 units. Exam tip: Find each function value separately before subtracting them.

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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  1. 1If the height of a plant is (h(t)=20+3t) cm, what type of change does it show?
  2. 2If the amount of water is (W(t)=50-4t) litres, what type of change is it?
  3. 3In the linear rule (C(d)=15+2d), what is the initial value?
  4. 4In the linear rule (P(t)=80-5t), what is the rate of change per unit?
  5. 5If (S(t)=10+6t), what will be the value of (S(t)) at (t=4)?
  6. 6If (M(t)=90-7t), what is the value of (M(t)) at (t=5)?
  7. 7Books in a library increase according to (B(n)=100+8n). What does the coefficient of (n) show?
  8. 8If water left in a tank is (L(t)=60-3t) litres, how much water was there at (t=0)?
  9. 9Which rule represents linear growth?
  10. 10Which rule represents linear decay?
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