Answer:
The amount that the company charge per hour is $6.
Step-by-step explanation:
Given : The graph given shows the total cost of an internet subscription, C, as it relates to the number of internet hours used, h.
We have to find the amount that the company charge per hour.
Since, the slope of the graph gives the rate of change occurring per hour.
Here, The slope will give the amount that the company charge per hour.
Consider two points on graph ,
For y - axis 1 unit represents $ 5
and for x - axis 1 unit represents 1 hour.
So, when x = 0 , then cost of subscription is $ 30.
and when x = 5 , then cost of subscription is $ 60.
Thus, two points are (0,30) and (5, 60).
Thus, Slope of line is given by
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:30\right),\:\left(x_2,\:y_2\right)=\left(5,\:60\right)[/tex]
Substitute, we have,
[tex]m=\frac{60-30}{5-0}[/tex]
Thus, m = 6
Thus, The amount that the company charge per hour is $6.
