Question

6
what type of function would best model the data in the table below? (a.fgr.9.5)

x	y
2	45
3	69
4	93
5	117

a) linear
b) none of these options
c) exponential
d) quadratic

Explanation:

Step1: Calculate first differences

$45-21=24$, $69-45=24$, $93-69=24$, $117-93=24$

Step2: Analyze first differences

All first differences are equal ($24$), which is the defining characteristic of a linear function, where the rate of change (slope) is constant.

Answer:

A) Linear