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Class 9MathematicsIntroduction to PolynomialsLinear growth and decayEasyLevel 38
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If (G(t)=5+9t), what is the growth rate?

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Answer and explanation

Correct answer: 9

In a linear expression, the growth rate is the coefficient of t. In (G(t)=5+9t), the coefficient of t is 9, so the growth rate is 9. The number 5 is the initial value, not the growth rate. Exam tip: in an expression of the form at+b, a is the growth rate.

Related tags

Linear GrowthGrowth RateCoefficientLinear ExpressionPolynomials

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

In a linear expression, the growth rate is the coefficient of t. In (G(t)=5+9t), the coefficient of t is 9, so the growth rate is 9. The number 5 is the initial value, not the growth rate. Exam tip: in an expression of the form at+b, a is the growth rate.

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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  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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