a table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.

y = 3n + 7

Step-by-step explanation:

Since this is a linear function, we can take any two points and calculate a slope, for the point-slope form of an equation:  y = mx + b, where m is the slope and b is the y-intercept.

I'll pick points (1,10) and (4,19)

Rise = (19-10) = 9

Run = (4 - 1) = 3

Rise/Run, os slope, m, = 9/3 or 3

The equation becomes y = 3x + b

We can determine b by putting one of the points in the above equation and solving for b.  I'll use (1,10):

y = 3x + b

10 = 3*1 + b = 7

The equation is:  y = 3x + 7

It works for all points given.  If we substitute n for x, we can predict the value when n is used:

y = 3x + 7 becomes  y = 3n + 7

i can try and you the very best that i can.