Question

A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line.

Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points)
Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words.

Answer 1

okay, so we know the equation y=mx+b

Answer 2

yea

Answer 3

but first

Answer 4

we have to plug in (4,3) into that equation

Answer 5

ok

Answer 6

so that you can find b, right?

Answer 7

and then, from there you can draw a line and find out how much it would cost for 1

Answer 8

Ok can u stay to check my work?

Answer 9

totally

Answer 10

ill have some work too and ill snap a pic

Answer 11

wait can you help me draw the graph?

Answer 12

what do you mean? like the line?

Answer 13

Yea like how would it be presented?

Answer 14

okay so since we dont have a slope

Answer 15

we know that slope is the change in y over the change in x

Answer 16

Yea

Answer 17

so we have 3=4m+b

Answer 18

but we cant solve yet since we have two variables

Answer 19

ok ok

Answer 20

so we can do 3/4 as the slope using the given point right?

Answer 21

so now we have

Answer 22

\[3=\frac{ 3 }{ 4 }\times 4+b\]

Answer 23

ok ok

Answer 24

so what do we get when we solve that equation?

Answer 25

3?

Answer 26

or 0..

Answer 27

well, 3/4 times 4 equals three

Answer 28

correct

Answer 29

its zero

Answer 30

so the y intercept is zero

Answer 31

yay

Answer 32

so now

Answer 33

we have the equation y=3/4x+0

Answer 34

so we just plug in one for x

Answer 35

and we get y is equal to 3/4

Answer 36

ok

Answer 37

so now all i need to do is plug it i right?

Answer 38

just graph for you to visualize

Answer 39

yup

Answer 40

and then part b, means 8 pounds for 6 dollars

Answer 41

ok thank you :) :) :)

Answer 42

ok

Answer 43

your welcome! just tag if you need help again :)

Answer 44

ok :)