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

B) y=12x

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=((y2-y1))/((x2-x1))`

Plug in the above points now, we get

`m=((12-0))/((1-0)) =(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.