A plant grows by a factor of 2 every week. If the plant is initially 5 inches tall, how tall will it be after 4 weeks?
Options
A
40 inches
B
20 inches
C
80 inches
D
10 inches
Answer & Analysis
Answer
C
Analysis
1. Determine the number of growth periods:
Since the plant grows by a factor of 2 every week and we want to know its height after 4 weeks, the number of growth periods is equal to the number of weeks, which is .
2. Use the exponential growth formula:
The formula for exponential growth in this case is , where:
is the final height of the plant.
is the initial height of the plant. Here, inches.
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