When customers use a calling card, a phone company charges $0.75 per minute. The table below shows the cost of calls lasting 2, 5, 7, and 8 minutes.
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Which of the following graphs best represents this data?
Since the phone company charges $0.75 per minute, we can calculate the cost of each call by multiplying the duration of the call (in minutes) by $0.75.
For a call lasting 2 minutes, the cost would be 2 x $0.75 = $1.50.
For a call lasting 5 minutes, the cost would be 5 x $0.75 = $3.75.
For a call lasting 7 minutes, the cost would be 7 x $0.75 = $5.25.
For a call lasting 8 minutes, the cost would be 8 x $0.75 = $6.00.
We can observe that as the duration of the call increases, the cost also increases. This indicates a positive relationship between the duration of the call and the cost.
To graph this data, we can plot the duration of the call (x-axis) against the cost (y-axis). The best representation of this data is a line graph, with the duration of the call on the x-axis and the cost on the y-axis. The line would start at (2, $1.50), continue to (5, $3.75), then to (7, $5.25), and finally to (8, $6.00).
Therefore, the best graph to represent this data would be a line graph, option (D).