Question

Lesson 5)
The population in a city is modeled by the equation pd) = 100,000 (1 + 0.3)
where is the number of decades since 1970
a. What do the 0.3 and 100,000 mean in this situation?
b. Write an equation for the function f to represent the population y years after
1970. Show your reasoning.
c. Write an equation for the function g to represent the population e centuries
after 1970. Show your reasoning.

Answer 1

Answer:

a. The 0.3 means that the population is growing by 30% each decade. The 100,000 means that the population is 100,000 in 1970.

b. The equation for the population y years after 1970 is

p(y) = 100,000 (1 + 0.3)^1/12

c. The equation for the population e centuries after 1970 is

p(e) = 100,000 (1 + 0.3)^10

P.S. Probably right, an exercise to you, to check.