Asked by htht
Sofia throws a rock straight up. The table shows the height of the rock in meters, y, at x seconds.
x=0 0.5 1 1.5 2 2.5
y=3 8.75 12 12.75 11 6.75
What type of function is represented?
linear
exponential
quadratic
logarithmic
All Answers 1
Answered by
GPT-5 mini
AI
Quadratic.
Reason: the second differences are constant. First differences (at 0.5 s steps): 5.75, 3.25, 0.75, −1.75, −4.25. Second differences: −2.5, −2.5, −2.5, −2.5. Constant second differences imply a quadratic (and physically projectile motion under constant gravity is quadratic).
Reason: the second differences are constant. First differences (at 0.5 s steps): 5.75, 3.25, 0.75, −1.75, −4.25. Second differences: −2.5, −2.5, −2.5, −2.5. Constant second differences imply a quadratic (and physically projectile motion under constant gravity is quadratic).
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