Question

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.

D: g(x) = 128(4)
g(x) = 512
Because 0.5 cups is equal to 64 grams, 1 cup is equal to 128 grams. If I need 4 cups, 128 * 4 is equal to 512 grams.

Answer 1

@jim_thompson5910 can you explain this?

Answer 2

Can you post the full problem (A through D)?

Answer 3

@jim_thompson5910 Sorry, had gotten offline. Heres everything.

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.
A) Write a function that shows grams as a function of cups. Use g(x).

g(x) = 128x

B) Given this scenario, determine a reasonable domain for this function.

A reasonable domain for this function can be anything one and above, because x can be replaced with any number except zero, to change the amout of cups to grams.

C) Graph the relationship between the number of cups and grams of flour.

C = Cup
G = Grams
0.5c = 64g
1c = 128g
1.5c = 192g
2c = 256g
2.5c = 320g
3c = 884g


D) Evaluate g(x) for any value of x within the domain. Interpret the meaning of your solution in the context of this problem.

g(x) = 128(4)
g(x) = 512
Because 0.5 cups is equal to 64 grams, 1 cup is equal to 128 grams. If I need 4 cups, 128*4 is equal to 512 grams.

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.

Answer 4

You are correct. Nice work. Don't forget that for part c), they want a visual graph.

Answer 5

I talked to my teacher, she said a table would be fine. But can you help me with part E?

Answer 6

So they want you to evaluate 128(4) a different way?

Answer 7

I suppose so, but I don't know another way.

Answer 8

well you could say 128*2 = 256 and then double that again to get 512

or you could say 128+128+128+128

Answer 9

part E is a bit odd

Answer 10

It is. Thank you. One more possibly?

Answer 11

sure

Answer 12

F) Interpret what it means to have g(-2) and determine if this is reasonable given the situation. They want me to work it out, then tell them it isn't rational for the situation?

Answer 13

yeah they want you to convert x = -2 cups over to grams

but having a negative number of cups makes no sense

Answer 14

g(-2) = 128(-2)
g(x) = -256

Answer 15

you get a numeric result, but nothing that's actually applicable in this situation

Answer 16

Even though it isn't reasonable, when they say "Interpret" don't they want me to show my work as well?

Answer 17

well there's not much to show

you just show g(-2) = 128(-2) = -256 really

and interpreting would be stating how it's not reasonable to have a negative number of cups or grams

Answer 18

I appreciate your help. :) Thank you.

Answer 19

you're welcome