Question

Determine the model that best describes the data and then write an equation for the function that models the data.

An engineer recorded the acceleration of an experimental rocket.
Show work

Answer 1

s = 4·3^t

Explanation:

After the first term, each term in the sequence is 3 times the previous one. This is a description of a geometric sequence. Here, the first term is 4, so the general term is ...

an = 4·3^n . . . . for n counting from 0

We can name the function "s" for "speed" and use "t" for the time in seconds. Then the equation is ...

s = 4·3^t