Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015. \begin

boitshupoO 2021-06-11 Answered

Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015

. \(\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\\ \text{ } & \text{(millions)} & \text{Revenue per Subscriber Unit }\\ \text{2000} & \text{109.5} & \text{48.55}\\ \text{2001} & \text{128.4} & \text{49.79}\\ \text{2002} & \text{140.8} & \text{51.00}\\ \text{2003} & \text{158.7} & \text{51.55}\\ \text{2004} & \text{182.1} & \text{52.54}\\ \text{2005} & \text{207.9} & \text{50.65}\\ \text{2006} & \text{233.0} & \text{49.07}\\ \text{2007} & \text{255.4} & \text{49.26}\\ \text{2008} & \text{270.3} & \text{48.87}\\ \text{2009} & \text{285.6} & \text{47.97}\\ \text{2010} & \text{296.3} & \text{47.53}\\ \text{2011} & \text{316.0} & \text{46.11}\\ \text{2012} & \text{326.5} & \text{48.99}\\ \text{2013} & \text{335.7} & \text{48.79}\\ \text{2014} & \text{355.4} & \text{46.64}\\ \text{2015} & \text{377.9} & \text{44.65}\\ \end{matrix}\)

One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.

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Expert Answer

Nicole Conner
Answered 2021-06-12 Author has 19164 answers

The scatter plot for the subscribers suggests a linear model because the points appear to lie on a line.
Use \((t_1,y_1)=(0,109.5)\) and \((t_2,y_2)=(15,377.9)\) to find the slope:
\(\displaystyle{m}=\frac{{{y}{2}-{y}{1}}}{{{t}{2}-{t}{1}}}=\frac{{{377.9}-{109.5}}}{{{15}-{0}}}\sim{17.9}\)
Since the y-intercept is the y-value, when t=0, we know that b=109.5 from the first point. So, the equation is: y=17.9t+109.5

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Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015.

\(\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\\ { } & \text{(millions)} & \text{Revenue per Subscriber Unit ()}\\ {2000} & {109.5} & {48.55}\\ {2001} & {128.4} & {49.79}\\ {2002} & {140.8} & {51.00}\\ {2003} & {158.7} & {51.55}\\ {2004} & {182.1} & {52.54}\\ {2005} & {207.9} & {50.65}\\ {2006} & {233.0} & {49.07}\\ {2007} & {255.4} & {49.26}\\ {2008} & {270.3} & {48.87}\\ {2009} & {285.6} & {47.97}\\ {2010} & {296.3} & {47.53}\\ {2011} & {316.0} & {46.11}\\ {2012} & {326.5} & {48.99}\\ {2013} & {335.7} & {48.79}\\ {2014} & {355.4} & {46.64}\\ {2015} & {377.9} & {44.65}\\ \end{matrix}\)

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