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A city that had 40,000 trees started losing them at a rate of 10 percent per year because of urbanization.

In approximately years, the number of trees in the city reduced to a quarter of the original amount. Hint: Model the situation as P = P0(1 − r)t.

User Tim Rogers
by
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1 Answer

5 votes

Answer:

t = 13.1576 years

Explanation:

The situation can be modeled as

P = Po.(1-r)^t

Where

t is the years transcurred

Po is the initial amount

r is the rate of change

Po = 40000

r = 10% equivalent to 0.1

Now

A quarter of the original amount

(1/4)*Po = Po.(1-r)^t

(1/4) = (0.9)^t

t = 13.1576

Please, see attached picture

A city that had 40,000 trees started losing them at a rate of 10 percent per year-example-1
A city that had 40,000 trees started losing them at a rate of 10 percent per year-example-2
User Demula
by
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