Question

Becky has been tracking the population of a town. The population was 5,340 last year and has been increasing by 1.75 times each year. How can Becky develop a function to model this?
A. f(x) = (5340 • 1.75)^x where 1.75 is the rate of growth

B. f(x) = 1.75(5340)^x where 5340 is the rate of growth

C. f(x) = 5340(x)^1.75 where 5340 is the rate of growth

D. f(x) = 5340(1.75)^x where 1.75 is the rate of growth

Answer 1

the population grows at rate of 1.75
multiply it by this rate every year
As in year 3 it would be 5340(1.75)(1.75)(1.75) the function is 5340(1.75)^x
f(x) = 5340(1.75)^x where 1.75 is the rate of growth 
so D is right answer