anonymous one year ago 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.

1. anonymous

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

2. anonymous

yea

3. anonymous

but first

4. anonymous

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

5. anonymous

ok

6. anonymous

so that you can find b, right?

7. anonymous

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

8. anonymous

Ok can u stay to check my work?

9. anonymous

totally

10. anonymous

ill have some work too and ill snap a pic

11. anonymous

wait can you help me draw the graph?

12. anonymous

what do you mean? like the line?

13. anonymous

Yea like how would it be presented?

14. anonymous

okay so since we dont have a slope

15. anonymous

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

16. anonymous

Yea

17. anonymous

so we have 3=4m+b

18. anonymous

but we cant solve yet since we have two variables

19. anonymous

ok ok

20. anonymous

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

21. anonymous

so now we have

22. anonymous

$3=\frac{ 3 }{ 4 }\times 4+b$

23. anonymous

ok ok

24. anonymous

so what do we get when we solve that equation?

25. anonymous

3?

26. anonymous

or 0..

27. anonymous

well, 3/4 times 4 equals three

28. anonymous

correct

29. anonymous

its zero

30. anonymous

so the y intercept is zero

31. anonymous

yay

32. anonymous

so now

33. anonymous

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

34. anonymous

so we just plug in one for x

35. anonymous

and we get y is equal to 3/4

36. anonymous

ok

37. anonymous

|dw:1439846550731:dw|

38. anonymous

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

39. anonymous

just graph for you to visualize

40. anonymous

yup

41. anonymous

and then part b, means 8 pounds for 6 dollars

42. anonymous

ok thank you :) :) :)

43. anonymous

ok

44. anonymous

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

45. anonymous

ok :)