 # 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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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