Question

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.

Answer 1

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

@IMStuck

Answer 3

@geerky42 u have the COOLEST PROF PIC EVER

Answer 4

rainbow musdash

Answer 5

haha thanks. Do you know how to do part A?

Answer 6

nope, no idea

Answer 7

i needs help >.<

Answer 8

hmm, well, clearly relationship between cup and gram is directly,

Like, g(x) = kx
where g(x) is grams, x is cups, and k is some constant

make sense so far?

Answer 9

so far, yea

Answer 10

@geerky42 wait, is that the answer?

Answer 11

@IMStuck i need some help

Answer 12

hey @IMStuck I'M STUCK

Answer 13

lol i need help though

Answer 14

Ok, the way I see this after I graphed it, is that g(x) = 128x where x is the cups of flour and 128 is the number of grams of flour in 1 cup. So if you have 1 cup of flour, 128x--> 128(1) = 128 grams; 2 cups of flour, 128(2) = 256 grams of flour; 3 cups of flour, 128(3) = 384 grams of flour. So I'm pretty sure the function is g(x) = 128x where x is the number of cups of flour. The domain, I believe, would be all real numbers greater than 0, because for any number of cups, or for any fraction of a cup, you could find the grams it would convert to. Like a quarter cup would be one-fourth of 128 grams. I'll try to attach a graph in a minute, but let's look at the next part where it says to evaluate g(x) for any value in the function. Like I stated previously, all you have to do to find the grams in x cups of flour is to multiply the number x by 128. 5 cups of flour would convert to 128*5 = 640 grams. 6 cups would convert to 128*6 = 768, etc. Another way you could evaluate the function instead of filling in x's would be to look at the line you graphed. Because this is a function, when you pick a certain value of x, going up til you reach the y coordinate would give you the grams at that x value. Get that part? You cannot have a negative x value here. Not possible. Now for the graph if at all possible...
If I had enough vertical space, you could see what y would be when x is 3 and 4 and 5, etc. Get it?

Answer 15

yea i think

Answer 16

@IMStuck it won't let me copy or save the graph to use it in the microsoft document

Answer 17

Just do it like I did it. Use mine as a guide for yours. Use the formula g(x) = 128x and fill in x values of 1, 2, 3, 4, etc and solve the function for those numbers. The xaxis is the cups and the y axis is grams. When x is 1, y is 128. When x is 2, y is 128(2) = 256. When x is 3, y is 128(3) = 384, etc. Plot those coordinates on the graph, at least 3 of them, and connect them to make your line. If you want to know how many grams 8 cups of flour is, plug 8 into the equation for x to et 128(8) = 1024 grams. You don't need my graph! You can do this!

Answer 18

ok