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19 April, 19:25

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

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  1. 19 April, 19:32
    0
    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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