Answer:
Step-by-step explanation:
the initial population is 500
after it grows 5% in 1 year we will have 500 * 1.05 ^1 because
500 represents 100% but
after 1 year we have 105% of the 500 people or 500*1.05 = 500 * 1.05 ^1
after 2 year we have 105% of 500*1.05 or 500*1.05*1.05 = 500 * 1.05 ^2
if we generalize
after x year we have 500 * 1.05 ^x
the population is an exponential function of time because the number of population depends on the number of years
