1LaPorsha
1LaPorsha 1LaPorsha
  • 17-12-2021
  • Mathematics
contestada

Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16​

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sqdancefan
sqdancefan sqdancefan
  • 17-12-2021

Answer:

  linear

Step-by-step explanation:

The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.

  first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3

  second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3

The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.

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