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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.
How many likes would Kyle receive on the 30th day?
A) 30
B) 96
C) 144
D) 360

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Answer:

D) 360

Step-by-step explanation:

The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

We can write a linear function to model this situation.

This will be of the form

[tex]y = mx[/tex]

because it passes through the origin , where m is the slope.

The slope is

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

Hence the equation is

[tex]y = 12x[/tex]

To find the number of likes on the 30th day, we put x=30 into the equation to get:

[tex]y = 12 \times 30 = 360[/tex]

The correct choice is D

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