If a tree’s height doubles every year, and it starts at 2 feet, how tall will the tree be after 3 years?
Options
A
16 feet
B
8 feet
C
4 feet
D
2 feet
Answer & Analysis
Answer
A
Analysis
1. Determine the number of doubling periods:
Since the tree's height doubles every year and we want to know its height after 3 years, the number of doubling periods is equal to the number of years, which is .
2. Use the exponential growth formula:
The formula for exponential growth in this case is , where:
is the final height of the tree.
is the initial height of the tree. Here,
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