Chapter 2.1, Problem 94AYU

To determine

To find: The dependent and independent variable of $N\left(r\right)=-1.35r²+15.45r - 20.75$, where $2 \le r \le 9$ and also to evaluate $\text{N}\left(\text{3}\right)$ and give verbal explanation.

Answer to Problem 94AYU

Dependent variable is $N$ and independent variable is $r$. $N\left(3\right)= 13.45\text{ millions}$; In 2012, $\text{13}\text{.45 million}$ housing units were with 3 rooms.

Explanation of Solution

Given:

$N\left(r\right)=-1.35r²+15.45r - 20.75$

Calculation:

$N\left(r\right)=-1.35r²+15.45r - 20.75$

Dependent variable is $N$ and independent variable is $r$.

$N\left(3\right) =-1.35\left(3\right)²+15.45\left(3\right) - 20.75$

$=-1.35\times 9+46.35-20.75$

$=-12.15+46.35-20.75$

$= 46.35-32.9$

$= 13.45$

In 2012, $13.45\text{ million}$ housing units were with 3 rooms.