Questions: The graph shows the number of cell phone subscribers (in millions) in a state from 2005 to 2010. (a) Use the given ordered pairs to find the slope of the line. (b) Interpret the slope in the context of this problem. (a) The slope of the line is . (Type an integer or a decimal.)

The graph shows the number of cell phone subscribers (in millions) in a state from 2005 to 2010.
(a) Use the given ordered pairs to find the slope of the line.
(b) Interpret the slope in the context of this problem.
(a) The slope of the line is .
(Type an integer or a decimal.)

Transcript text: The graph shows the number of cell phone subscribers (in millions) in a state from 2005 to 2010. (a) Use the given ordered pairs to find the slope of the line. (b) Interpret the slope in the context of this problem. (a) The slope of the line is $\square$. (Type an integer or a decimal.)

Solution

Solution Steps

Step 1: Find the coordinates of the two given points.

The two given points are (2005, 209) and (2010, 316).

Step 2: Calculate the slope using the slope formula.

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using the points (2005, 209) and (2010, 316): $m = \frac{316 - 209}{2010 - 2005} = \frac{107}{5} = 21.4$

Step 3: Interpret the slope.

The slope represents the average annual increase in the number of cell phone subscribers (in millions) in the state between 2005 and 2010. The slope is 21.4, which means that, on average, the number of cell phone subscribers increased by 21.4 million per year during this period.