Question
Determine whether the given function is linear or nonlinear. {(3,15),(7,35),(11,55),(15,75)}
Determine whether the given function is linear or nonlinear. {(3,15),(7,35),(11,55),(15,75)}
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Koala Tutor
Koala Ai Support
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The given function is linear.
A function is linear if the difference in the y-values divided by the difference in the x-values (also known as the slope) is constant for all pairs of points.
Let's calculate the slope between the first two points (3,15) and (7,35):
(35-15) / (7-3) = 20 / 4 = 5
Now, let's calculate the slope between the second and third points (7,35) and (11,55):
(55-35) / (11-7) = 20 / 4 = 5
Finally, let's calculate the slope between the third and fourth points (11,55) and (15,75):
(75-55) / (15-11) = 20 / 4 = 5
Since the slope is the same (5) for all pairs of points, the function is linear.
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