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A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in weeks, and p(t) is the population of rabbits with …
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A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in weeks, and p(t) is the population of rabbits with …
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Oct 22, 2018
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A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in weeks, and p(t) is the population of rabbits with respect to time, about how many rabbits will be there in 98 days?
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Mahmoud Alkomy
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98 days = (98 ⁄ 7) weeks = 14 weeks
Po = initial population = 5
Ƭ = doubling time in weeks
t = elapsed time in weeks
P{t} = population after "t" weeks
P{t} = (Po)•2^(t ⁄ Ƭ)
P{t} = (Po)•2^(t ⁄ 4)
P{t} = 5•2^(t ⁄ 4)
P{14} = (5)•2^(14 ⁄ 4) … t = 14 weeks = 98 days
P{14} = 56 … population after 14 weeks
Senfen
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Oct 28, 2018
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