b. Calculate the number of rabbits on the island after 10 weeks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 13PFA
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please just answer 1b

1 A population of 200 rabbits was introduced to an island. One week later the number of rabbits was 210. The
number of rabbits, N , can be modeled by the function
N(t) = 200 x b', t 2 0,
where t is the time, in weeks, since the rabbits were introduced to the island.
а.
Find the value of b .
b. Calculate the number of rabbits on the island after 10 weeks.
C An ecologist estimates that the island has enough food to support a maximum population of 1000 rabbits.
Calculate the number of weeks it takes for the rabbit population to reach this maximum.
Transcribed Image Text:1 A population of 200 rabbits was introduced to an island. One week later the number of rabbits was 210. The number of rabbits, N , can be modeled by the function N(t) = 200 x b', t 2 0, where t is the time, in weeks, since the rabbits were introduced to the island. а. Find the value of b . b. Calculate the number of rabbits on the island after 10 weeks. C An ecologist estimates that the island has enough food to support a maximum population of 1000 rabbits. Calculate the number of weeks it takes for the rabbit population to reach this maximum.
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