Water is being poured into a large, cone-shaped cistern. The volume of water, measured in cm cubed , is reported at different time intervals, measured in seconds and is displayed in scatterplot A. Two transformations of the data are shown in the second and third graphs. Scatterplot B displays the relationship between time and the log of volume. Scatterplot C displays the relationship between the log of time and the log of volume. Open image in full-screen view Open image in full-screen view Open image in full-screen view Which model best represents the relationship between time and volume?
Answer
A
A linear model would best represent the relationship because scatterplot A is fairly linear.
B
A linear model would best represent the relationship because scatterplot C is fairly linear.
C
An exponential model would best represent the relationship because scatterplot B is fairly linear.
D
A power model would best represent the relationship because scatterplot C is fairly linear.