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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