Question

Which of the following best models the data in the table?

Type of Function

This table presents the x and y values to identify the function that most accurately models the given dataset.
x y
2
8.5

4
46

6
107.5

8
193

(1 point)
Responses

quadratic
quadratic

exponential
exponential

cubic
cubic

linear

Answer 1

Quadratic.

Reason: First differences are 37.5, 61.5, 85.5; the second differences are 24 and 24 (constant), so the data fit a quadratic. The quadratic is y = 3x^2 + 0.75x − 5 (which matches all given points).