Question

A population of flies grows according to the function p(x) = 6(3)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 4x + 1. What is the population of flies after two weeks with the introduced spider?

9
45
54
67

Answer 1

45

Explanation:

The remaining population of flies after 2 weeks is ...

p(x) -s(x) . . . . when x=2

p(2) -s(2) = 6·3² -(4·2 +1) = 54 -9 = 45