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Answer :
Answer:
1584 square kilometers.
Step-by-step explanation:
Here's the function I use.
[tex]y=a(1-r)^t[/tex]
a= starting amount
r= rate
t= years
First step: [tex]y=3700(1-0.055)^1^5[/tex]
Second step: [tex]=3700(0.945)^1^5[/tex]
Third step: =1583.72164269
Fourth step: Round to the nearest square kilometer. Since 1583.7 is closer to 1584, you must round up.
Fifth step: The final answer is [tex]1584 km^2[/tex]
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Rewritten by : Barada
The required area of the forest after 15 years will be 1583.72 square kilometers.
what is an exponential function?
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
A certain forest covers an area of 3700 km. Suppose that each year this area decreases by 5.5%.
The area after 15 years is given as,
= 3700[1 - 0.055]¹⁵
= 3700[0.945]¹⁵
= 1583.72 square kilometers
Thus, the required area of the forest after 15 years will be 1583.72 square kilometers.
Learn more about exponential function here:
brainly.com/question/15352175
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