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]
Hope this helps and stay during these crucial times. We'll get through this!
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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