The population of Egypt in 2002 was 70435000 and was 7738140

The population of Egypt in 2002 was 70,435,000 and was 77,381,400 in 2006. Assume the population of Egypt grew exponentially over this period.

Determine the 4-year growth factor.

Determine the 4-year percent change. %

Determine the 1-year growth factor.

Determine the 1-year percent change. %

Define a function, m, that determines the population of Egypt in terms of the number of years that have elapsed since 2002, t

Assume Egypt\'s population continued to grow according to this model. Use your graphing calculator to determine how many years it will take for the population of Egypt to double. (Be sure to include at least three decimals in your answer.)

Solution

4-year growth factor=77,381,400/70,435,000 =1.09862

4-year percent change.=(1.09862-1)*100 % =9.862 %

1-year growth factor.=(77,381,400/70,435,000)^1/4=1.02379

1-year percent change.=(1.02379-1)*100 % =2.379 %

a function, m, that determines the population of Egypt in terms of the number of years that have elapsed since 2002, t is m=70435000*(1.02379)^t

population of Egypt to double

70435000*(1.02379)^t=2*70435000

(1.02379)^t=2

t=ln_1.023792

t=29.478 years

it will take 29.478 years for the population of Egypt to double