# 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.

## Question 2

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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