Question

Using g(x), Write a function that shows grams as a function of cups, when 0.5 cup of flour has a mass of 64 grams and 2 cups of flour has a mass of 256 grams

Answer 1

@whpalmer4, do you understand this?

Answer 2

Yes, I do. Anything else? :-)

Answer 3

this reads like it is part of a bigger problem, however; is it possible to see the whole thing?

Answer 4

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). @whpalmer4

Answer 5

okay. I wanted to make sure that there wasn't some definition of g(x) that we would need to know about. There isn't.

so, if 0.5 cups flour masses 64 grams, how much is the mass of 1.0 cups of flour?

Answer 6

128

Answer 7

Okay, good. Can you write a function of \(x\) called \(g(x)\) that converts \(x\) (in cups) to a mass in grams?

Answer 8

apparently, you just have to multiply the number of cups by 128 grams/cup, wouldn't you agree?

Answer 9

Well, my function was \[g(x) =0.5c\] but I dont think its right

Answer 10

no, it isn't. what is \(c\)?

Answer 11

C is the number of cups.

Answer 12

and your function doesn't do anything with the argument \(x\), so it is going to return the same value every time

Answer 13

the number of cups is the argument to the function, \(x\)

Answer 14

you need in the function to do a calculation which will have as its result the number of grams of flour that is equivalent to \(x\) cups of flour

Answer 15

So, maybe something like \[g(x) = c +something\]?

Answer 16

Functions confuse me. Dx

Answer 17

okay, 3 cups of flour. convert that to grams, and show your work.

Answer 18

do you add, subtract, multiply, divide, take square roots or logarithms, what?

Answer 19

I don't know..

Answer 20

how many grams in 1 cup of flour?

Answer 21

We said 128g

Answer 22

okay, so 1 cup = how many grams?

Answer 23

2 cups = how many grams?
3 cups = how many grams?

Answer 24

1 cup = 128
2 cups = 192
3 cups = 256

Answer 25

well, 1 of the 3 is correct.

if 1 cup is 128 grams, shouldn't 2 cups be the same as 1 cup + 1 cup = 128 + 128 =

Answer 26

I added 64 both times, so I gues I actually did 1 cups, 1.5 cups, and 2 cups.

Answer 27

So,
1 cup = 128
2 cups = 256
3 cups = 384

Answer 28

yes, indeed you did.

so how much would 3 cups be, in grams?

Answer 29

384g

Answer 30

okay. how much would \(x\) cups be, in grams?

Answer 31

g(x) = x + 128?

Answer 32

how did you calculate how many grams 3 cups would be?

Answer 33

I added the amount of 1 cup to itself twice.

Answer 34

isn't it simply a straightforward multiplication of the number of cups * the number of grams per cup?!?

Answer 35

\[x \text{ cups} * \frac{128\text{ grams}}{1\text{ cup}} = x \cancel{\text{ cups}}*\frac{128\text{ grams}}{\cancel{1\text{ cup}}} = 128x \text{ grams}\]

Answer 36

Ohh! g(x) = c * 128?

Answer 37

if C = number of cups

Answer 38

there IS NO C!!!

Answer 39

\(x\) is the number of cups.

if \(c\) represented the number of cups, we would be asked to create \(g(c)\), not \(g(x)\)

Answer 40

Yes, \(g(x) = 128x\)

if \(x\) is the number of cups of flour