Chapter 6.6, Problem 2CYP

To determine

To calculate: the number of international college students are expected to study in the U.S. in 2012.

Answer to Problem 2CYP

In 2012, there will be about $2,223,560$ college students are expected to study in the U.S.

Explanation of Solution

Given information:

The function $C(x)=2.46x^3-22.37x^2+548.24$ of international college students studying in the United States x years since 2000.

Formula used:

Synthetic Substitution :- Synthetic division is used to find the value of a function.

Calculation:

Consider ,

  $C(x)=2.46x^3-22.37x^2+548.24$

By using Synthetic substitution the function is supposed to divided by $x-12$ .

  $\begin{array}{l}\overline{)12}\begin{array}{cccc}2.46& -22.37& 53.81& 548.24\end{array}\\ \begin{array}{ccc}29.52& 85.8& 1675.32\end{array}\\ \overline{\begin{array}{ccc}2.46& 7.15& 139.61\end{array}\hspace{.2em}|}\begin{array}{c}2223.56\end{array}\end{array}$

In 2012, there will be about $2,223,560$ college students are expected to study in the U.S.