The functions are:
[tex]p(x)=2\cdot4^x[/tex] and [tex]s(x)=2x+5[/tex].
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as [tex]p(2)=2\cdot4^2=2\cdot16=32[/tex].
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
