The population of Egypt in 2002 was 72, 120, 600 and was 77, 123, 500 in 2006. A

Question

The population of Egypt in 2002 was 72, 120, 600 and was 77, 123, 500 in 2006. Assume the population of Egypt grew exponentially over this period. Determine the 4-year growth factor. Preview Determine the 4-year percent change. % Preview Determine the 1-year growth factor. Preview Determine the 1-year percent change. % Preview Define a function, m, that determines the population of Egypt in terms of the number of years that have elapsed since 2002. t. Preview 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 m your answer.) Years Preview

Explanation / Answer

in 2002 population was 72,120,600

in 2006 population was 77,123,500

a) standard exponential equation is given

y = ab^x

77,123,500 = 72,120,600 (b)^4

77,123,500 / 72,120,600 = b^4

1.06936 = b^4

b = 1.016908

growth factor = 1.016908

b) growth percentage = .016908*100 = 1.69%

c) 4 year growth rate = .016908

1 year growth rate = .016908 / 4 = .004227

1 year growth factor = 1+.004227 = 1.004227

d) 1 year percentage change = .422%

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