Identify the exponential function that correctly fits the situation below.
The size of a rainforest is currently decreasing at a rate of 17% per year. If there are currently 230,000 square miles of rainforest, then about how many square miles of rainforest will there be in t years?
A.
F = 230,000(0.17)t
B.
F = 230,000(0.83)t
C.
F = 230,000(1.17)t
D.
F = 230,000(1.83)t
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Answer:
The correct answer is option B, that is:
F = 230,000 (0.83) · t
This is because 17% is what decreases the centers so the rest of the percentage represents what actually, so:
100% -17% = 83% = 0.83
So this equation under the given parameters tells us correctly how much is left.To solve these exercises the essential thing is to understand the statement, verify data and verify that they are asking.
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