Question

The graph below shows the total cost of an internet subscription, C, as it relates to the number of internet hours used, h.

How much does the company charge per hour?
The company charges $_______________a0 per hour.

Answer 1

The amount that the company charge per hour is $6.

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

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:30\right),\:\left(x_2,\:y_2\right)=\left(5,\:60\right)`

Substitute, we have,

`m=(60-30)/(5-0)`

Thus, m = 6

Thus, The amount that the company charge per hour is $6.

Answer 2

The company charges $5 per hour.

Explanation:

We are asked to find the cost that the company charges per hour.

i.e. we are asked to find the rate per hour.

i.e. according to the graph we are asked to find the slope of the graph.

As the slope is nothing but the rate at which the value increases or decreases.

So, we will find the slope using two points on the graph.

The graph passes through (0,35) and (3,50)

Hence, the slope of the graph which is represented by 'm' is calculated by:

`m=(50-35)/(3-0)\\\\\\m=(15)/(3)\\\\m=5`

Hence, The company charges $5 per hour.