Question

At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 

Y=

Answer 1

y = 210,000(1.055)^t

Explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t