Answer :
Final answer:
The amount of garbage in the dumpster in 2006 can be found using the exponential growth model with a growth rate of 2.7% per year.
Explanation:
To find the amount of garbage in the dumpster in 2006, we can use the exponential growth model. The growth rate is 2.7% per year, which means the amount of garbage increases by 2.7% each year. We are given that the amount of garbage in the dumpster is 1700 lbs in 2000. We can use the formula for exponential growth:
Amount = Initial Amount * (1 + Growth Rate)Number of Years
Plugging in the values, we have:
Amount = 1700 * (1 + 0.027)6
Calculating this, we find that the amount of garbage in the dumpster in 2006 is approximately 1979.44 lbs.
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