Chapter 1.5, Problem 22PPS

a.

To determine

To find: The accuracy to say that the number of tablets will be greater than $177million$ in $2019.$

Answer to Problem 22PPS

Yes, it is accurate to say that the number of tablets will be greater than $177million$ in $2019.$

Explanation of Solution

Given Information:A table showing the number of tablet users from the year $2014$ to $2018$ is given.

As the number of tablet users is increasing every year, so the number of tablet years will be greater than that in the year $2018$ , i.e., greater than $177million$ .

b.

To determine

To complete: The given table.

Explanation of Solution

Given Information:A table showing the number of tablet users from the year $2014$ to $2018$ is given.

Formula used:

  $\%Increase=\frac{NewAmount-OldAmount}{OldAmount}$

Table:

  $\begin{array}{lll}Year\hfill & NumbrofTabletUsers(millions)\hfill & PercentofIncrease\hfill \\ 2014\hfill & 149\hfill & \mathrm{...}\hfill \\ 2015\hfill & 159\hfill & \frac{159-149}{149}=0.067\hfill \\ 2016\hfill & 166\hfill & \frac{166-159}{159}=0.044\hfill \\ 2017\hfill & 172\hfill & \frac{172-166}{166}0.036\hfill \\ 2018\hfill & 177\hfill & \frac{177-172}{172}=0.029\hfill \end{array}$

c.

To determine

To find: The number of tablet users in $2019$ .

Answer to Problem 22PPS

The number of tablet users in $2019$ will be approximately $184.788$$millions$.

Explanation of Solution

Given Information:

Calculation:

The average percentage increase in tablet users in previous years is

  $\frac{0.067+0.044+0.036+0.029}{4}=\frac{0.176}{4}=0.044$

Let the number of tablet users in $2019$ is $x$ .

Then $\frac{x-177}{177}=0.044$

  $x-177=7.788$

  $x=184.788$

Thus, the number of tablet users in $2019$ will be approximately $184.788$$millions$.