Which function rule represents the data table below:
input(x)1,2,3,4,5
output(y)9,12,15,18,21
a~y=4+5x
b~y=3+6x
c~y=5+4x
d~y=6+3x
i think b

Option D is correct

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

         .....[1]

where, m is the slope of the line and b is the y-intercept.

From the given table

Consider coordinates in the form of (x, y)

i,e (1, 9) and (2, 12)

Calculate slope:

Substitute the given points we have;

Substitute this in [1] we have;

Substitute any point from the given table to find b:

Substitute (4, 18) we get;

18 = 12+b

Subtract 12 from both sides we have;

6 = b

or

b = 2

⇒ or y = 6+3x

therefore,  function rule represents the  given data table is,

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