Gary saw a video on the internet in which dropping mint candies into bottles of soda pop caused the soda pop to spurt immediately from the bottle. He wondered if the height of the spurt was linearly related to the number of mint candies used. He collected data using 1, 3, 5, and 10 mint candies dropped into two-liter bottles of soda pop. The height of the spurt was measured in centimeters. Each quantity of mint candies was tried three times. The data is shown in the table.
Using the mean of the data points for 3 and 10, what is the BEST interpretation of the slope in context of this problem?
Responses
A The slope is 40, which means that for every mint candy dropped into the bottle of soda pop the minimum height of the spurt increase is 40 cm.The slope is 40, which means that for every mint candy dropped into the bottle of soda pop the minimum height of the spurt increase is 40 cm.
B The slope is 47.1, which means that for every mint candy dropped into the bottle of soda pop the maximum height of spurt increase is 47.1 cm.The slope is 47.1, which means that for every mint candy dropped into the bottle of soda pop the maximum height of spurt increase is 47.1 cm.
C The slope is 43.1, which means that for every mint candy dropped into the bottle of soda pop the height of the spurt increases by 43.1 cm.The slope is 43.1, which means that for every mint candy dropped into the bottle of soda pop the height of the spurt increases by 43.1 cm.
D The slope is 47.1, which means that for every mint candy dropped into the bottle of soda pop the height of the spurt increases by 47.1 cm.