Chapter 8, Problem 54RE

(a)

To determine

To calculate: The global consumer Internet usage per month in $2010$, $2015,$ and in $2017$ if the Internet traffic increases exponentially. The number of petabytes (PB) of global consumer Internet usage per month $U\left(t\right)$ is represented by the exponential function $U\left(t\right)=5204{\left(1.47\right)}^t,$ where $t$ is the number of years after $2010.$

(b)

To determine

To calculate: The year in which the global consumer Internet per month is $250,000\text{ PB}$. The number of petabytes (PB) of global consumer Internet usage per month $U\left(t\right)$ is represented by the exponential function $U\left(t\right)=5204{\left(1.47\right)}^t,$ where $t$ is the number of years after $2010.$

(c)

To determine

To calculate: The doubling time for global consumer Internet usage per month if the Internet traffic increases exponentially. The number of petabytes (PB) of global consumer Internet usage per month $U\left(t\right)$ is represented by the exponential function $U\left(t\right)=5204{\left(1.47\right)}^t,$ where $t$ is the number of years after $2010.$

(d)

To determine

To graph: The exponential function $U\left(t\right)=5204{\left(1.47\right)}^t,$ where $t$ is the number of years after and $U\left(t\right)$ is the global consumer Internet usage per month in petabytes (PB).