Question

In 2015, the population of a small town was 8,000. The population is increasing at a rate of 1.8% per year. What is the monthly rate of population increase?

Answer 1

Explanation:

y= a*b x (a is initial value b= growth rate)

y=8000(-1)^1 x= 1.018^ 1* 1.8

x=0.1527= time* 12

f(x)=x. f ( x )= x. = 0.1527 * 12

or we can square so that x^2=1.8 and x= 1.34164 note this can only be used for the first 5 decimal place.

This shows the exponential growth we expand and introduce y=8000 (-1)^12 to find one year.

one year y-1^ 12 this represents 144 the 1.8% of the y=144 the starting point of 1/12 on axis

f(x)=2x. f (x )= 2x add y (1)^1 would sh9ow year 2 at athe same rate