Question

The table shows the time and distance data to identify the function that most accurately models the given data set.
Time (sec) Distance (miles)
1
3

2
9

3
27

4
81

5
243

(1 point)
Responses

cubic
cubic

linear
linear

exponential
exponential

quadratic

Answer 1

Exponential.

Each term is 3 times the previous (3 → 9 → 27 → 81 → 243), so the data follow exponential growth. A fitting formula is y = 3^t (or y = 3·3^(t−1)).