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# Determine which model best fits the data. Then write an equation for the function that models the data.

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Determine which model best fits the data. Then write an equation for the function that models the data.

(1,3) (2,12) (3,27) (4,48)

A.y=2x

B.y=4x2

C.y=2x2+1

D.y=3x2

Guest Mar 6, 2017

#2
+86649
+5

Very nice, hectictar.......you're gonna' put me out of a job.....!!!!

CPhill  Mar 6, 2017
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#1
+7056
+6

Test the points in each option to determine which one fits the data.

Start by testing the first point, x = 1 and y = 3.

A. 3 =? 2(1)

3 ≠ 2 , so option A is out.

B. 3 =? 4(12)

3 ≠ 4 , so option B is out.

C. 3 =? 2(12) + 1

3 = 3 , so option C goes to the next round.

D . 3 =? 3(12)

3 = 3 , so option D goes to the next round.

Test the second point, x=2 and y = 12.

C. 12 =? 2(22) + 1

12 ≠ 9 , so option C is out.

D. 12 =? 3(22)

12 = 12 , option D goes to the next round.

Option D is the only remaining choice. Quickly test the other points for D:

27 =? 3(32)

27 = 27

48 =? 3(42)

48 = 48

y = 3x2 fits all the data.

f(x) = 3x2

hectictar  Mar 6, 2017
#2
+86649
+5

Very nice, hectictar.......you're gonna' put me out of a job.....!!!!

CPhill  Mar 6, 2017
#3
+7056
+6

Oh no! I wouldn't worry about that haha, there are lot of math things that I don't understand. :)

hectictar  Mar 6, 2017
#4
+1

I ship it!

Guest Mar 6, 2017