Data shows change in population over time, N is the population and t is time in days.

t | 0. 1. 2. 3.
N | …. 35.62. 40.94 54.05

A) Write an appropriate function to model this data.

B) With the type of growth and function identified, use the given data to determine the value of the constant growth, then approximate to three decimal places.

C. With the type of growth and function identified, use the given data to determine the value of the initial population as a whole number, then write the completed growth function.

D. Use your completed growth function to determine and help you explain what is happening to the population every five days.