Question

4 of 4 The population size, W, of owls in a certain region of the world can be modelled by the function $W(t) = 1000 + 100 \sin(\frac{\pi t}{12})$, where $t$ represents the time in months and $t = 0$ represents January. (a) What is the maximum and minimum number of owls in this region? [2] (b) How long does it take for the population of owls to complete one cycle? [2]

          4 of 4
The population size, W, of owls in a certain region of the world can be modelled by the function
$W(t) = 1000 + 100 \sin(\frac{\pi t}{12})$, where $t$ represents the time in months and $t = 0$ represents January.
(a) What is the maximum and minimum number of owls in this region?
[2]
(b) How long does it take for the population of owls to complete one cycle?
[2]

4 of 4
The population size, W, of owls in a certain region of the world can be modelled by the function
W(t) = 1000 + 100 sin((π t)/(12)), where t represents the time in months and t = 0 represents January.
(a) What is the maximum and minimum number of owls in this region?
[2]
(b) How long does it take for the population of owls to complete one cycle?
[2]

Added by Jerry W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Christy Galilei

12/04/2020

Step 1

To find the equation for one cycle of the population, we need to find the time it takes for the population to return to its initial value. In this case, the initial value is 1400. So, we need to solve the equation W(t) = 1400 for t. 1400 = 1000 + 64t Subtract Show more…

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The population size, W, of owls in a certain region of the world can be modeled by the function W(t) = 1000 + 64t, where t represents time in years. If the population of owls is currently 1400, how long will it take for the population of owls to complete one cycle?