The answer is 14 flies
1. Calculate the population of flies after 3 weeks without the spider: p(3)
2. Calculate the number of eaten flies by the spider after 3 weeks: s(3)
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider.
1. Calculate the population of flies after 3 weeks without the spider:
p(x) = 3(2)ˣ
x = 3 (because it is the period of three weeks)
⇒ p(3) = 3 · 2³ = 3 · 8
p(3) = 24
2. Calculate the number of eaten flies by the spider after 3 weeks:
s(x) = 2x + 4
x = 3 (because it is the period of three weeks)
⇒ s(3) = 2 · 3 + 4 = 6 + 4
s(3) = 10
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider:
p(3) - s(3) = 24 - 10 = 14
Therefore, there are 14 flies after three weeks with the introduced spider.
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The answer would be 48 If im not mistaking