Question 2, Exercise 5.3

Solutions of Question 2 of Exercise 5.3 of Unit 05: Polynomials. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan.

In the cricket match season, the number of tickets sold during the match can be modeled by $t(x)=x^{3}-12 x^{2}+48 x+74$, where $x$ is the number of games played. Find the number of tickets sold during the twelfth game of the cricket season.

Solution.

Given: $$t(x)=x^{3}-12 x^{2}+48 x+74.$$ When $t=12$ $$\begin{align*} t(12)&=(12)^3-12(12)^2+48(12)+74 \\ &=650. \end{align*}$$ During the 12th game 650 ticket were sold.

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