Question

Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the population was 185,000.

a. Find the constant rate of continuous growth, k, for this population. (Please round to 5 decimal places)

b. When will the population reach 250,000 people?

Answer 1

a. 2020-2010=10 185000-150000=350000 35000:10=3500 (population growth per year) 3500:365=9 (growth per day) 9:24=0.375(growth per hour)

b. 2020-2010=10 185000-150000=350000 35000:10=3500 250000-185000=65000 65000:3500=18 2020+18= 2038