Chapter 5.4, Problem 86E

(a)

To determine

To graph: The points $\left(t,V\right)$ and with the help of regression capabilities find a linear model and quadratic model for the data of $\left(t,V\right)$ when:

t	$2010$	$2011$	$2012$	$2013$	$2014$	$2015$	$2016$
V	$\$23,046$	$\$20,596$	$\$18,851$	$\$17,001$	$\$15,226$	$\$14,101$	$\$12,841$

(b)

To determine

The slope represented in the linear model $V=-1689.78t+24127.43$.

(c)

To determine

To graph: The exponential model with the help of regression analysis for the data:

t	$2010$	$2011$	$2012$	$2013$	$2014$	$2015$	$2016$
V	$\$23,046$	$\$20,596$	$\$18,851$	$\$17,001$	$\$15,226$	$\$14,101$	$\$12,841$

(d)

To determine

The horizontal asymptote of the exponential model $V=60454.23\times e^{-0.09735t}$ and interpret the meaning of it.

(e)

To determine

To calculate: The rates of decrease in the model when $t=12$ and $t=15$ when $V=60454.23\times e^{-0.09735t}$.