Respuesta :

Answer:

Exponential

Step-by-step explanation:

Points are:

(1, 16), (2, 12), (3, 9), (4, 6.75)

Lets assume it is linear function, then get the equation:

  • y= mx+b - slope-intercept form
  • m= (y2-y1)/(x2-x1)= (12-16)/(2-1)= -4

See is same slope between second and third points:

  • m=(9-12)/(3-2)= - 3 no
  • And it is different for the 4th point

So this is not a linear function

Now lets see if y- points have same ratio:

  • 16/12= 4/3
  • 12/9= 4/3
  • 9/6.75= 4/3

So the ratio is same and we have a exponential function

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