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7 December, 02:52

The table represents a linear function. Find the values of a, b, and c. Show your work.

x | y

a 7

3 8

5 9

7 b

c 11

+1
Answers (2)
  1. 7 December, 03:04
    0
    mx+n=y

    m*3+n=8

    m*5+n=9

    =>m*5+n - (m*3+n) = 9-8

    2m=1 = > m=1/2

    ½ * 3 + n = 8

    n=8-3/2

    n=13/2

    => y=x/2 + 13/2

    y = (x+13) / 2

    7 = (a+13) / 2; a+13=14 = > a=1

    b = (7+13) / 2; b=20/2; b=10

    11 = (c+13) / 2, c+13=22 = > c=9
  2. 7 December, 03:09
    0
    a = 1, b = 10, c = 9

    Step-by-step explanation:

    x is increasing by positive two from each number and y is increasing by 1 from each number.
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