Question

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

Answer 1

Answer:

  s = 4·3^t

Step-by-step 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