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.

Answer 1

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

@undeadknight26 @DanJS

Answer 3

@butterflydreamer @texaschic101 @Nnesha

Answer 4

can someone please help?

Answer 5

yo

Answer 6

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

Answer 7

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.

Answer 8

those are 2 points on a line

Answer 9

u want me to write the function?

Answer 10

(x,y) = (cups, grams)

Answer 11

(x,y) = (0.5 , 64)
(x1,y1) = (2,256)

slope?

Answer 12

ohh this is still A right?

Answer 13

m = (256 - 64) / (2 - 0.5) = 128

Answer 14

yeah you need to write the function, it is a line, and they gave you 2 points ( cups, grams)

Answer 15

so overall the function is what? with g(x)

Answer 16

is it g(x)= 128

Answer 17

y - y1 = m*(x-x1)

use a point ( 2 , 256)

y - 256 = 128*(x - 2)
y - 256 = 128x - 256

y = g(x) = 128x

The number of grams g(x) is 128 times the number of cups x

g(x) = 128x

Answer 18

That's it. They gave you 2 points, ( x, g(x)) = (cups , grams ), just had to calculate the slope, and then make a line equation

Answer 19

:D OMG thanks :D it makes sense

Answer 20

could have recognized that it goes through the origin (0,0) , , 0 cups, is 0 grams.

y = k*x (varies directly)

k = 128 from using one of the points

Answer 21

this is B? @DanJS

Answer 22

That is the function g(x) = 128x for part A.

Number of grams g(x) is 128 times #cups x

Answer 23

part b asks what are the reasonable values for x.

Answer 24

all the flour on earth, really, if you could get it all. lol

Answer 25

hhhh like all the tea in china xD

Answer 26

Reasonable domain would be , however many cups of flour you want to use , zero to whatever

Answer 27

just say like, the domain for g(x) is [0,20], x, the number of cups, is between 0 and 20 , it is arbitrary

Answer 28

oh ok thanks actually for u know simplifying things and saying just say xD it helps a lot :P plus its 10:57 so my mind is like what XD