Chapter 4.3, Problem 35E

To determine

To write: a function for the average attendance per term over this period of time.

Answer to Problem 35E

The expression is $\frac{-1.95x^3+70.1x^2-188x+2150}{14.8x+725}0<x<18$ .

Explanation of Solution

Given information:

The total attendance $A$ at NCAA women’s basketball games and the number $T$ of NCAA women’s basketball teams over a period of time can be modeled by

  $\begin{array}{c}A=-1.95x^3+70.1x^2-188x+2150\\ T=14.8x+725\end{array}$

Where $x$ is in years and $0<x<18$ .

Calculation:

To find the average attendance per term, divide the total attendance by NCAA women’s.

The function for the average attendance per team over this period of time is

  $\frac{A}{T}=\frac{-1.95x^3+70.1x^2-188x+2150}{14.8x+725}$

Therefore, the expression is $\frac{-1.95x^3+70.1x^2-188x+2150}{14.8x+725}0<x<18$ .