Question

A population of flies grows according to the function p(x) = 2(4)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 2x + 5. What is the population of flies after two weeks with the introduced spider?

Answer 1

p(x) = 2(4)x
p(2) = 2(4)*2 = 16

s(x) = 2x + 5
s(2) = 2*2 + 5 = 9

16 - 9 = 7
The population of flies after two weeks with the introduced spider is 7.