surryyy
  • surryyy
The following graph shows the quantity of pencil sales (s) with respect to the day in August (d) in various office supply stores. Which of the following is most likely to be the equation of the trend line? d= - 20/3s - 20 d = 20/3s - 20 s = -20/3d - 20 s= 20/3d - 20 https://static.k12.com/eli/bb/1211/4_68960/2_33592_16_68976/a96bf17c229e063e24091eb1b909924af9c7c7b4/media/80038125d95831be7597a5f6b289b93a4e2c1562/mediaasset_952313_1.jpg
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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phi
  • phi
in a "normal" graph, the horizontal axis is x and the vertical is y in your graph, what do "d" and "s" correspond to ?
phi
  • phi
in other words, which of s or d is the "y" ?
surryyy
  • surryyy
s is y

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phi
  • phi
ok. the equation of a line in point slope form is y= mx + b so in this case, I would expect to see s= m d + b where m is the slope and b is the y-intercept knowing that, you can cross of two of the choices.
phi
  • phi
any idea how to decide which of the two remaining choices is the correct answer ? I would use the idea that a line that slopes up and to the right has positive slope
surryyy
  • surryyy
would it be d?
phi
  • phi
what is the slope in choice D ?
surryyy
  • surryyy
20/3
phi
  • phi
yes, and that is positive. that means that line slopes up and to the right which is what we want. (the other choice slopes down)
surryyy
  • surryyy
so d is correct right?
phi
  • phi
yes, D is correct. it has the correct form s= m d + b and it has the correct slope (positive)
surryyy
  • surryyy
ty

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