The population of a colony of mosquitoes obeys the law of uninhibited growth. If

Question

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1300 after 1 day, what is the size of the colony after 4 days? How long is it until there are 60,000 mosquitoes? What is the size of the colony after 4 days? roxdmatelymastlir he rondto harest lnumber (Do not round until the final answer. Then round to the nearest whole number as needed.) How long is it until 60,000 mosquitoes are in the colony? About days. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Explanation / Answer

initial number of mosquitoes = 1000

after 1 day = 1300

A = Ao e^kt

1300 = 1000 e^k

ln (1300/1000) = k

k = 0.2623

hence, equation becomes

A = 1000 e^.2623 t

size of colony after 4 days

A = 1000 e^.2623(4)

A = 2855 mosquitoes

2) 60000 = 1000 e^.2623 t

60000/ 1000 = e^.2623 t

t = 15.6 days

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.