3. A wildlife manager counted 1800 mice in a 10-km² area of forest. It is predicted that the mouse population in this area will grow exponentially according to the function P(t) = 1800e0.031, where P(t) is the mouse population and t is the time, in years. a) How long will it take for the mouse population to i) double ii) triple b) Find the rate of change of the mouse population after i) 10 years ii) 25 years c) At what rate is the mouse population growing at the time when its number has tripled?
3. A wildlife manager counted 1800 mice in a 10-km² area of forest. It is predicted that the mouse population in this area will grow exponentially according to the function P(t) = 1800e0.031, where P(t) is the mouse population and t is the time, in years. a) How long will it take for the mouse population to i) double ii) triple b) Find the rate of change of the mouse population after i) 10 years ii) 25 years c) At what rate is the mouse population growing at the time when its number has tripled?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Transcribed Image Text:3. A wildlife manager counted 1800 mice in
a 10-km² area of forest. It is predicted that
the mouse population in this area will
grow exponentially according to the
function P(t) = 1800e
0.03/
where P(t) is the
>
years.
mouse population and t is the time, in
a) How long will it take for the mouse
population to
i) double
ii) triple
b) Find the rate of change of the mouse
population after
i) 10 years
ii) 25 years
c) At what rate is the mouse population
growing at the time when its number
has tripled?
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