A table of values of a linear function is shown below. Find the output when the input is n
input: 1, 2, 3, 4 , Output: 5, 4, 3, 2, 1

y = 6 - n

Step-by-step explanation:

Step 1 :

Given ,

input: 1, 2, 3, 4 ,5  Output: 5, 4, 3, 2, 1

Let y = m x + c be the linear function

Step 2 :

When we take the input as 1, the output is 5, and when input is 2 the output is 4

so we have x,y as (1,5) and (2,4)

Hence substituting this in the linear function we get,

5 = m (1) + c  and 4 = m (2) + c

=> m + c = 5 and 2 m + c = 4

Step 3 :

Solving for m and c with these 2 equations , we have

m = -1 and c = 6

so we have the equation as y= (-1) x + 6

When the input is n, x = n

so output is y = (-1) n + 6

                   y = 6 - n

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