C 2
6.28
3
9.42
5
15.70
10
31.40
what explicit formula describes the pattern of this table

y - 6.28 = 3.14( x - 2 )

Step-by-step explanation:

Notice that 6.28 is twice the approximate value of pi:  2(3.14), and that

9.42  is three times pi.  We can deduce immediately that the slope of the line passing through (2, 6.28) and (3, 9.42) is 3.14.

Using the point-slope formula for the equation of a straight line, we get:

y - 6.28 = 3.14( x - 2 )

associative property of multiplication

your answer would be 12