Question

14. An engineer recorded the acceleration of an experimental rocket.

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

time (sec) 0. 1 2 3 4

speed (mph) 4 12 36 108 324


(SHOW WORK)

Answer 1

if looking for the function that best models graph, f(x)=4*(3^x) is the function that satisfies values.

Explanation:

f(0)=4*(1)=4

f(1)=4*(3)=12

f(2)=4*(9)=36

f(3)=4*(27)=108

f(4)=4*(81)=324