Question

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.
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.

Answer 1

C.Graph the relationship between the number of cups and grams of flour.
D.Evaluate g(x) for any value of x within the domain. Interpret the meaning of your solution in the context of this problem.
E.Look at the method you used to evaluate your function in part D. Explain another way you can evaluate the function for the same input.
F.Interpret what it means to have g(-2), and determine if this is reasonable given the situation.

Answer 2

We have two points of the function:
(0.5, 64) and (2, 256).

Do you know what point-slope form is?

Answer 3

nope xc

Answer 4

The relationship of the graph should be like the graph you found for g(x)=128x. For every one cup of flour, there is 128 grams of flower.

Part D is more like an interpretation so just pick a random number like 0.75 or 3/4 of a cup and plug it into your x of g(x). g(x)=128(0.75). g(x)=96. Interpret that as 3/4 of a cup is equal to 96 grams.

Part E would be using 3/4 of a cup like I did before and finding a new way to get 96 out of it.

In Part F I'm pretty sure that it wouldn't apply to this problem and g(-2) essentially means you have -2 cups of flour which isn't possible.