Question

A population of flies grows according to the function p(x) = 5(2)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 3x + 2. What is the population of flies after three weeks with the introduced spider?

Answer 1

the answer should be 11 in case you were wondering.

Answer 2

x = 3 weeks

Growth: 5(2)(3) = 30 flies in 3 weeks

eaten: 3(3) +2 = 9+2 =11 flies eaten in 3 weeks

30-11 = 19 flies ( population after 3 weeks)