A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule describes the relationship between the number of miles m and the total cost of the ride c. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?

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Graph AThe x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A ray begins at the point left-parenthesis 40 comma 13 right-parenthesis, passes through the other three points, and continues downward and towards the left.
Image with alt text: Graph A The x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A ray begins at the point left-parenthesis 40 comma 13 right-parenthesis, passes through the other three points, and continues downward and towards the left.

Graph BThe x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A ray begins at the point left-parenthesis 10 comma 4 right-parenthesis, passes through the other three points, and continues upward and towards the right.
Image with alt text: Graph B The x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A ray begins at the point left-parenthesis 10 comma 4 right-parenthesis, passes through the other three points, and continues upward and towards the right.

Graph CThe x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A line passes through the four points.
Image with alt text: Graph C The x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. A line passes through the four points.

Graph DThe x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. The points are connected with line segments forming a single line segment.
Image with alt text: Graph D The x-axis is labeled m and has tick marks in steps of 5. 10, 20, 30, and 40 are all labeled on the x-axis. The y-axis is labeled Upper C and has tick marks in steps of 2. 14, 8, 12, 16, and 20 are all labeled on the y-axis. The following points are graphed: left-parenthesis 10 comma 4 right-parenthesis, left-parenthesis 20 comma 7 right-parenthesis, left-parenthesis 30 comma 10 right-parenthesis, and left-parenthesis 40 comma 13 right-parenthesis. The points are connected with line segments forming a single line segment.
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Answer 1

The reasonable graph of the function rule would be Graph B. The graph shows a positive correlation between the number of miles traveled and the total cost of the ride. As the number of miles increases, the total cost of the ride also increases. This aligns with the given function rule that charges $0.30 for each mile traveled. The ray beginning at the point (10, 4) and passing through the other three points shows the continuous increase in the total cost of the ride for each additional mile traveled.