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A scientist is observing the grizzly bear population in two state parks. The parks each have 150 bears when he begins observing them. The population in Park A increases by 20% each year. The population in Park B decreases by 20% each year. In each equation, y represents the bear population with respect to a number of years, x. Drag each equation to show whether it can be used to represent the bear population in Park A, Park B, or neither of these.

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sqdancefan
Nothing to drag; nowhere to drag it to.

Park A's population can be modeled by
.. y = 150*1.2^x

Park B's population can be modeled by
.. y = 150*0.8^x

Answer:

Step-by-step explanation:

Initial population of bears =150

Park A is given that the population increases by 20% each year

This gives that in year x population would be

P(t) = [tex]150(1+\frac{20}{100} )^x\\=150(1.2)^x[/tex]

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In the II park park B, the population decreases by 20%

Hence have population at time x as

P(x) = [tex]150(1-\frac{20}{100} )^x\\=150(0.8)^x[/tex]