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Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph representing the feedback over one month. So far he has collected the following data: (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

Which equation models Kyle's data?
A) y = x
B) y = 12x
C) x = 12y
D) y = 1/12x

Respuesta :

Answer:

B) y=12x

Step-by-step explanation:

We are given with the coordinates [tex](0,0) , (1,12) \ and \ (2,24)[/tex]

Where [tex]x[/tex] represents the number of days.

[tex]y[/tex] represents the number of likes she got.

To model the equation using Kyle's data we find the slope using the given coordinate.

Let us say [tex](0,0) \ as \ (x1 , y1)[/tex] and [tex](1,12) \ as \ (x2,y2)[/tex]

Slope [tex](m)[/tex] formula ,  [tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

Plug in the above points now, we get

[tex]m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12[/tex]

Now we use the point-slope formula, [tex](y-1)= m(x-x1)[/tex]

Plugging the corresponding values.

     [tex](y-0)= 12(x-0)\\y=12x[/tex]

Thus option is B is the correct answer.

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