madhatter
  • madhatter
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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madhatter
  • madhatter
jim_thompson5910
  • jim_thompson5910
each row corresponds to an ordered pair
jim_thompson5910
  • 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

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anonymous
  • anonymous
i no this!
jim_thompson5910
  • jim_thompson5910
you do this for every row to fill out part a)
madhatter
  • madhatter
ok ..
jim_thompson5910
  • 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
madhatter
  • madhatter
k... so after i do that then what
jim_thompson5910
  • 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
madhatter
  • madhatter
can we go back to a plz
jim_thompson5910
  • jim_thompson5910
ok what do you want to ask about that
madhatter
  • madhatter
so i charted all them down what do i do after that
madhatter
  • madhatter
..??
jim_thompson5910
  • jim_thompson5910
ok what points did you get
madhatter
  • madhatter
(14,196) (18,324) (22,484) (26,676) (30,900)
jim_thompson5910
  • jim_thompson5910
correct, plot all these points on the same xy axis
jim_thompson5910
  • jim_thompson5910
after you have plotted all those points, you would then draw a curve through those all of these points
madhatter
  • madhatter
oh ic
madhatter
  • madhatter
what about c, d
jim_thompson5910
  • jim_thompson5910
any ideas on C?
madhatter
  • madhatter
nope i am so lost in this stuf i hate it
jim_thompson5910
  • 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
jim_thompson5910
  • jim_thompson5910
for part d), you do this A = s^2 3600 = s^2 s^2 = 3600 s = ???
madhatter
  • madhatter
ok cool thanks i get so lost i have 2 more to do then i am do.....
jim_thompson5910
  • jim_thompson5910
alright
madhatter
  • madhatter
might have to ask u for more help but not sure
jim_thompson5910
  • jim_thompson5910
go for it
madhatter
  • madhatter
ok hang on
jim_thompson5910
  • jim_thompson5910
ok
madhatter
  • 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
madhatter
  • madhatter
there are 2 more that i will typ up to
jim_thompson5910
  • jim_thompson5910
ok let's do these one at a time then
jim_thompson5910
  • 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
madhatter
  • madhatter
ok lol
madhatter
  • madhatter
thanks B.write a function rule for the liner function explain your method for witeing the rule
jim_thompson5910
  • 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
madhatter
  • madhatter
kk
jim_thompson5910
  • 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
jim_thompson5910
  • 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
madhatter
  • madhatter
ok cool the next part is C at what time will the temp reach 0F explian the method of finding the time
jim_thompson5910
  • jim_thompson5910
f(x) = -4x + 24 0 = -4x + 24 solve for x
madhatter
  • madhatter
ok thanks so much r u willing to help with one more or r u done lol
jim_thompson5910
  • jim_thompson5910
i can do one more
madhatter
  • 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
jim_thompson5910
  • jim_thompson5910
yay that's great that you can, and I'm glad to be of help to you
madhatter
  • madhatter
sorry for asking so much and takeing up so much of ur time

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