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Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.

Time (seconds) 4 8 12 16 20 24
Hot Chocolate Amount (fluid ounces) 4 5.5 7 9 12 15

Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?
scatter plot titled New Machine with the x axis labeled time in seconds going from 0 to 28 and the y axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 4 and 8 comma 5 and a half and 12 comma 7 and 16 comma 9 and 20 comma 12 and 24 comma 15
line graph titled New Machine with the x axis labeled time in seconds going from 0 to 28 and the y axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 4 and 8 comma 5 and a half and 12 comma 7 and 16 comma 9 and 20 comma 12 and 24 comma 15, with line segments connecting each point to the next
scatter plot titled New Machine with the x axis labeled hot chocolate amount in fluid ounces going from 0 to 18 and the y axis labeled time in seconds going from 0 to 26, with points at 4 comma 4, 5.5 comma 8, 7 comma 12, 9 comma 16, 12 comma 20, and 15 comma 24
line graph titled New Machine with the x axis labeled hot chocolate amount in fluid ounces going from 0 to 18 and the y axis labeled time in seconds going from 0 to 26, with points at 4 comma 4, 5.5 comma 8, 7 comma 12, 9 comma 16, 12 comma 20, and 15 comma 24, with line segments connecting each point to the next

1 answer

The best representation for displaying and describing the relationship between the amount of hot chocolate and time is a line graph titled "New Machine" with the x-axis labeled "time in seconds" going from 0 to 28 and the y-axis labeled "hot chocolate amount in fluid ounces" going from 0 to 18. The line graph should include points at (4, 4), (8, 5.5), (12, 7), (16, 9), (20, 12), and (24, 15), and should have line segments connecting each point to the next.

A line graph is appropriate here because it effectively illustrates the continuous relationship between time and the amount of hot chocolate produced, allowing for easier visualization of trends over time. The line segments provide a clear representation of how the hot chocolate amount increases as time progresses.