Question

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years. y = 15,200 ∙ 2x; about 15,564,800 people y = 2 ∙ 15,200x; about 304,000 people y = 15,200 ∙ 1.02x; about 18,529 people y = 15,200 ∙ 2x; about 18,529 people

Answer 1

For this case, what you need to know is that to model this problem, you must use equations of the potential type:
 y = A * (b) ^ t
 Where:
 A: initial population.
 b: growth rate.
 t: time.
 Substituting values we have:
 y = 15200 * (1.02) ^ t
 After 10 years we have:
 y = 15200 * (1.02) ^ 10
 y = 18529
 Answer:
 An equation to model of the population growth is:
 y = 15,200 ∙ 1.02 ^ x
 the population after 10 years is:
 about 18,529