Chapter 8, Problem 54RE

(a)

To determine

To calculate: The amount of sales influenced by mobile devices in 2012, in 2014 and in 2016 when the exponential function of the sales $S\left(t\right)$ which is influenced by the mobile devices is defined as,

$S\left(t\right)=159{\left(1.44\right)}^t$

where, $S\left(t\right)$ is the sales that is influenced by the mobile and t is the number of years after 2012.

(b)

To determine

To calculate: The year in which the mobile devices influence $\$1000\text{ billion}$ in sales when the exponential function of the sales $S\left(t\right)$ which is influenced by the mobile devices is defined as,

$S\left(t\right)=159{\left(1.44\right)}^t$

where $S\left(t\right)$ is the sales that is influenced by the mobile and t is the number of years after 2012.

(c)

To determine

To calculate: The doubling time of the sales influenced by the mobile devices when the exponential function of the sales $S\left(t\right)$ which is influenced by the mobile devices is defined as,

$S\left(t\right)=159{\left(1.44\right)}^t$

Where $S\left(t\right)$ is the sales that is influenced by the mobile and t is the number of years after 2012.

(d)

To determine

To graph: The exponential function $S\left(t\right)=159{\left(1.44\right)}^t$ when the exponential function of the sales $S\left(t\right)$ which is influenced by the mobile devices is defined as,

$S\left(t\right)=159{\left(1.44\right)}^t$

where $S\left(t\right)$ is the sales that is influenced by the mobile and t is the number of years after 2012.