Question

You've learned how to write recursive functions to represent real-life scenarios. In this activity, you will write a recursive function that models population growth and then use the function to make some predictions. A town currently has a population of 1,000,000, and the population is increasing 6 percent every year. In standard function notation, rewrite the recursive function, next=nowx1.06, starting at 1,000,000. Use the letter p to denote the current population, r for the rate of population growth, and t for the number of years. Explain your answer.

a. pt+1=pt×1.06
b. pt+1=pt+0.06×pt
c. pt+1=pt×(1+0.06)
d. pt+1=pt +1.06

Answer 1

The recursive function that models population growth can be written as pt+1 = pt * (1 + 0.06).

Step-by-step explanation:

The recursive function that models population growth can be written as pt+1 = pt * (1 + 0.06), where pt is the current population, 0.06 is the growth rate (6% per year), and t is the number of years.

So, option c) pt+1 = pt * (1 + 0.06) is the correct answer.