SOLUTION: A table of values of a linear function is shown below. Find the output when the input is input 1 2 3 4 n output 0 3 6 9

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Question 761180: A table of values of a linear function is shown below. Find the output when the input is


input 1 2 3 4 n

output 0 3 6 9


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
When the input is n, the output is 3%28n-1%29=3n-3.

The fact that
3=3%2A1 is the output for 2,
6=3%2A2 is the output for 3, and
9=3%2A3 is the output for 4
tells us that 3%28n-1%29 is the output for n.

The fact that as the input increases by 1, the output increases by 3 tells us that the slope is 3, and the slope-intercept form of the equation bases on the point (n,y) = (1,0) would be
y-0=3%28n-1%29 --> y=3%28n-1%29