The population of a certain city is projected to grow at the rate of people/year, t years from now.The current population is 40,000.What will be the population 3 years from now?
A)41,148 people
B)41,168 people
C)41,218 people
D)41,178 people

Question

The population of a certain city is projected to grow at the rate of  people/year, t years from now.The current population is 40,000.What will be the population 3 years from now?
A)41,148 people 
B)41,168 people 
C)41,218 people 
D)41,178 people

Quizplus · Accepted Answer

The formula for exponential growth is:
P(t) = P(0) * e^(rt)
where:
P(0) = initial population
r = annual growth rate
t = time in years
P(t) = population after t years

Using the given information:
P(0) = 40,000
r = 11e-10 (converted to decimal from scientific notation)
t = 3

P(3) = 40,000 * e^(11e-10 * 3)
P(3) = 40,000 * e^(33e-10)
P(3) = 40,000 * 1.000001091
P(3) = 41,168.04

Rounding to the nearest whole number, the population 3 years from now will be 41,168 people. Therefore, the best choice is B.

The Population of a Certain City Is Projected to Grow