In 1–2 sentences, explain which type of function best models the data in the table? How do you know?

Type of Function

x y
1
1
26
26

4
4
86
86

7
7
146
146

(2 points)

1 answer

The data in the table is best modeled by a linear function, as the relationship between the x and y values appears to show a consistent increase; specifically, for every increase in x, y increases by a constant amount (approximately 60 in this case). This indicates a linear trend rather than a quadratic or exponential one.