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## madhatter 2 years ago ayesha is a gatdener who makes square gardens in various sizes. the table shows the side lengths in feet,and the areas of various gardens,in square feet. A.write the valuse from the table as a set of ordered pairs B.graph the relation describe your graph and explain whether it is a function. C. describe the relationship between the side lenght and area of the garden D.suppose the area of a garden is 3,600 square feet discribe how to find the

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1. madhatter

2. jim_thompson5910

each row corresponds to an ordered pair

3. jim_thompson5910

so the first row of 14 and 196 means we have the point (14, 196) the second row has 18 and 324, so we have (18, 324) etc etc

4. AKANicole

i no this!

5. jim_thompson5910

you do this for every row to fill out part a)

6. madhatter

ok ..

7. jim_thompson5910

part b) plot every point you get from part a) and draw a curve through all of the points to graph the equation

8. madhatter

k... so after i do that then what

9. jim_thompson5910

describe the relationship between the side length and area of the garden I'll leave that to you, tell me what you think is the relationship

10. madhatter

can we go back to a plz

11. jim_thompson5910

ok what do you want to ask about that

12. madhatter

so i charted all them down what do i do after that

13. madhatter

..??

14. jim_thompson5910

ok what points did you get

15. madhatter

(14,196) (18,324) (22,484) (26,676) (30,900)

16. jim_thompson5910

correct, plot all these points on the same xy axis

17. jim_thompson5910

after you have plotted all those points, you would then draw a curve through those all of these points

18. madhatter

oh ic

19. madhatter

what about c, d

20. jim_thompson5910

any ideas on C?

21. madhatter

nope i am so lost in this stuf i hate it

22. jim_thompson5910

14^2 = 196 18^2 = 324 22^2 = 484 etc etc so the relationship is this Area = (Side length)^2 ie you square the side length to get the area

23. jim_thompson5910

for part d), you do this A = s^2 3600 = s^2 s^2 = 3600 s = ???

24. madhatter

ok cool thanks i get so lost i have 2 more to do then i am do.....

25. jim_thompson5910

alright

26. madhatter

might have to ask u for more help but not sure

27. jim_thompson5910

go for it

28. madhatter

ok hang on

29. jim_thompson5910

ok

30. madhatter

one evening at 6pm the temp was 24F as the night progressed the temp dropped at a stedy rate of 4F pre hour A.make a table of values for the function for for values of 0 -8 let 0 persent the time for 6 pm

31. madhatter

there are 2 more that i will typ up to

32. jim_thompson5910

ok let's do these one at a time then

33. jim_thompson5910

first row will be 0 and 24 second row will be 1 and 20 (subtract 4 from 24) third row will be 2 and 16 (subtract 4 from 20) fourth row will be 3 and 12 (subtract 4 from 16) etc etc until you have 9 rows total

34. madhatter

ok lol

35. madhatter

thanks B.write a function rule for the liner function explain your method for witeing the rule

36. jim_thompson5910

y = mx + b y = -4x + b ... plug in the slope of -4 (I'll explain how I got this later) y = -4x + 24 ... plug in the y-intercept of 24 (this is the initial temperature) f(x) = -4x + 24 So the function rule is f(x) = -4x + 24

37. madhatter

kk

38. jim_thompson5910

The slope is found by subtracting two temperatures (next to each other)....so 24 - 20 = 4 ... make this difference positive if it's not already then you subtract two hour values (next to each other) ...so 1 - 0 = 1 ... make this difference positive if it's not already Now divide the two differences: 4/1 = 4 Then make the slope negative. The slope is negative because the temperature is DECREASING So the slope is m = -4

39. jim_thompson5910

you could pick on temperatures and hour values not next to each other, but it's easier to use values next to each other

40. madhatter

ok cool the next part is C at what time will the temp reach 0F explian the method of finding the time

41. jim_thompson5910

f(x) = -4x + 24 0 = -4x + 24 solve for x

42. madhatter

ok thanks so much r u willing to help with one more or r u done lol

43. jim_thompson5910

i can do one more

44. madhatter

ok thanks so much u r a life saver oh hey i think i can figure it out on my own actually lol thanks so much for helping me

45. jim_thompson5910

yay that's great that you can, and I'm glad to be of help to you

46. madhatter

sorry for asking so much and takeing up so much of ur time

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