Question

Number 2 and letter E.

Answer 1

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

@goformit100

Answer 3

are both questions attached ?

Answer 4

This is just one question, I just need help with D-

Answer 5

Do you know the equation, or I create a equation for it ?

Answer 6

Let me read it again : 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.

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

Answer 7

f(x) = 0.5x + 2x = 64 + 256

i think this will be the equation.

Answer 8

Wait wouldnt that one be for A?

Answer 9

ya....

Answer 10

Question D as you suggested is the continued question of A.

in this question D you have to put a specific value in place of x. Nothing more. Simply give x a value and solve the equation formed.

Answer 11

ok

Answer 12

Should I be more clear ?

Answer 13

Yes, please.

Answer 14

did you get the same equation for question A ?

Answer 15

Yes.

Answer 16

Was it correct ?

Answer 17

Ok, wait, I'm confused. Let me just start over with this whole problem.

Answer 18

Sure

Answer 19

So 0.5 cups is 64 grams and 2 cups is 256 grams.

Answer 20

So f(x)= 0.5x+64 and f(x)=2x+256

Answer 21

Let me read it again : 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. Evaluate g(x) for any value of x within the domain. Interpret the meaning of your solution in the context of this problem.

Answer 22

i think equation should be of the form : -
like,

1 km = 1000 m do you agree ?
then, x km = 1000x m

Answer 23

Yes.
LIke, 0.5cups(has a mass of) = 64grams

Answer 24

Like*

Answer 25

0.5 cups = 64 gram
0.5x = 64x
will this work

Answer 26

No because x cant be cups and grams.

Answer 27

@ParthKohli Urgent help

Answer 28

Im so confused..

Answer 29

Don't worry @JocelynStalnaker Now @ParthKohli is there to help us to confused person.... jk

Answer 30

*two

Answer 31

Put 5 in place of @ParthKohli 's told equation.

Answer 32

@JocelynStalnaker are you done with parts A,B,C,D ?

Answer 33

Yes

Answer 34

And i have F

Answer 35

Just not E.

Answer 36

May I see your work quick... because E depends on what you did in the previous parts..

Answer 37

A- g(x)=128x
B- 5 can be a reasonable domain.
C- A graph--
D- g(5)=128(5). g(5)=640.

Answer 38

Excellent ! everything looks good except for part B

Answer 39

Whats wrong with B?

Answer 40

lets work part E & F first, may be after that we will get back to part B. okay ?

Answer 41

Ok

Answer 42

so we need to find another way to find the value of g(x) when x = 5

Answer 43

Yes, But how would i do that?

Answer 44

We're given below points :

`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.`

pick any one point and set up a proportion

Answer 45

2 cups = 256 grams
5 cups = ? grams

Answer 46

640

Answer 47

You need to show the work also, otherwise it will be hard for your teacher to see any difference between methods in part D and E

\(\large \dfrac{2}{5} = \dfrac{256}{g}\)

Answer 48

cross multiply and solve \(\large g\)

Answer 49

1280/2 640=g <<< Is that right or no?

Answer 50

looks okay ^

Answer 51

\(\large \dfrac{2}{5} = \dfrac{256}{g}\)

\(\large 2g = 1280\)

\(\large g = 1280/2 = 640\)

Answer 52

Yes, So that would be my answer to E?

Answer 53

Yep !

Answer 54

Yay! Thank you so much!!

Answer 55

np :) whats ur opinion on last part ?

Answer 56

Oh wait! Didnt you say part B was incorrect?

Answer 57

yeah lets look at part B may be...

Answer 58

`Domain` is just a fancy word for `all the x values` that u can feed a function with

Answer 59

Yes, and i chose the number 5

Answer 60

5 is part of the domain, but its not `THE domain`

Answer 61

Your function from part A :
g(x) = 128x

Answer 62

Yes

Answer 63

can you tell me what `x` represents here ?

Answer 64

For each cup?

Answer 65

yes x represents `cup of flour`

can x be negative ?
can x be 0 ?
can x be positive ?

Answer 66

Notice that it makes no sense to say :
use `-2` cups of flour

for a recipe

Answer 67

No it cant be negative, well if it was 0 then why would the question say "flour" but it can be positive

Answer 68

however 0 is fine and it can be any positive value. So the domain is x >= 0

Answer 69

They asked for a `reasonable domain`.
Kendra can't bake infinite apple pies :D

I think 5 cups is fine.
I would have said 20 maybe, but whatev.

Answer 70

Oh ok

Answer 71

Greater than 0

Answer 72

0 is good to have - it represents the case when you feel lazy, change ur mind and give up on ur friends and decide not to make the pie

Answer 73

Hope you can answer the last part now, give it a try :)

Answer 74

Lol, ok so x>=0 is the answer and not just 5

Answer 75

I have F
F- x represents the number of cups and a negative number -2 is not a reasonable in this situation because you cant have -2 cups.

Answer 76

\(\Large\rm 0\lt x\lt 5\) is a reasonable domain.
You should stick with the 5 in my opinion. :\

Answer 77

Woops `or equal to` on the lower bound -_- my bad.

Answer 78

You have it !

Answer 79

Ok, Thank you guys so much for your help!

Answer 80

np, you're welcome :)