Piney Woods Conservation is a company that attempts to help offset the effects of deforestation. A local forest contains approxi
mately 500,000 trees. Lumber companies are continuously clearing the forest at a rate of 4.7% per year. Piney Woods Conservation is about to begin planting trees in the region throughout each year at an average rate of 15,000 trees per year. They are curious to know how long it will be before the number of trees they have planted will be equal to the number of trees still remaining in the forest.
2 answers:
Answer:
15.7 years
Step-by-step explanation:
we know that
The deforestation is a exponential function of the form
where
y ----> the number of trees still remaining in the forest
x ----> the number of years
a is the initial value (a=500,000 threes)
b is the base
b=100%-4.7%=95.3%=95.3/100=0.953
substitute
The linear equation of planting threes in the region is equal to
using a graphing tool
Solve the system of equations
The intersection point is (15.7,235,110)
see the attached figure
therefore
For x=15.7 years
The number of trees they have planted will be equal to the number of trees still remaining in the forest
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