Question

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

Answer 1

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.