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sweet-ann [11.9K]
3 years ago
12

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
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

B) y=12x

Step-by-step explanation:

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

Where x represents the number of days.

y 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 (0,0) \ as \ (x1 , y1) and (1,12) \ as \ (x2,y2)

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

Plug in the above points now, we get

m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12

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

Plugging the corresponding values.

     (y-0)= 12(x-0)\\y=12x

Thus option is B is the correct answer.

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