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The percent of US citizens that use the internet on a daily basis is shown on the graph, where the year 2000 corresponds to x=0. Use the concepts of y-intercept and slope of the line to find the equation that best models the given data. Answer in slope intercept form.

The percent of US citizens that use the internet on a daily basis is shown on the graph where the year 2000 corresponds to x0 Use the concepts of yintercept and class=

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Solution

We want to find the slope from the graph

Using the point-slope formula

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\text{ -------(1)}[/tex]

When x = 0, y = 60;

When x = 10, y = 90;

Using equation (1)

[tex]\begin{gathered} \frac{y-60_{}}{x-0}=\frac{90-60}{10-0} \\ \Rightarrow\frac{y-60_{}}{x}=\frac{30}{10} \\ \Rightarrow\frac{y-60_{}}{x}=3 \\ \Rightarrow y-60=3x \\ \Rightarrow y=3x+60 \end{gathered}[/tex]

Hence, the equation that best describes the model from the given data is

[tex]y=3x+60[/tex]

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