2. While in the United States visiting her grandmother, Kendra copied the famous family apple pie recipe. When she returns to England, she plans on making the same apple pie for her friends. To do this, Kendra needs to convert the flour from cups to grams. She knows that 0.5 cup of flour has a mass of 64 grams and 2 cups of flour has a mass of 256 grams.

Question

2.	While in the United States visiting her grandmother, Kendra copied the famous family apple pie recipe. When she returns to England, she plans on making the same apple pie for her friends. To do this, Kendra needs to convert the flour from cups to grams. She knows that 0.5 cup of flour has a mass of 64 grams and 2 cups of flour has a mass of 256 grams.

anonymous · Answer

A.	Write a function that shows grams as a function of cups. Use g(x).
B.	Given this scenario, determine a reasonable domain for this function.
C.	Graph the relationship between the number of cups and grams of flour.

I already did A.

anonymous · Answer

For part A:
$$c=g(x)=128g$$
i.e.: A cup is 128 grams.

B:
This is tricky, because they don't tell you what they mean by 'reasonable'. What is reasonable to one person might be ridiculous to somebody else. A couple of possible answers:  

i)
$$0 \lt  g \lt 1000$$ because you can't have less that zero flour and if it was more than 1000 grams you would measure it in kilograms.

ii) The only other answer is something like "g must be less than 256g". i.e.: a normal amount of flour for a pie.

C. Rough graph:

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