Final answer:
The scale factor of Alice's dilation after eating the cake, shrinking from 49 inches to 12 inches, is approximately 0.2449, which rounds to 0.2, making option c) the correct answer.
Step-by-step explanation:
The question involves finding the scale factor of Alice's dilation after she eats the cake in the story Alice in Wonderland. To determine the scale factor, we compare her final height to her original height. The scale factor is calculated by dividing the shrunk height (12 inches) by the original height (49 inches).
Scale Factor = Shrunk Height / Original Height = 12 inches / 49 inches.
By doing the math, we get the scale factor as approximately 0.2449, which we can round to 0.2 for the purpose of multiple choice options.
Therefore, the correct answer is c) 0.2.