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Answer :
Final answer:
To calculate the area covered by the moss when Paul returns in 6 months, we need to find the growth factor. Then, multiply it by the initial area of 11 cm² to find the final area. The moss will cover approximately 84.5 cm² when Paul returns.
Explanation:
To calculate the area that the moss will cover when Paul returns, we need to determine how many months will have passed. Since Paul will return in 6 months, we can use this information to find the multiplier for the moss growth. He mentioned that the area covered by moss multiplies by one and a half times each month. Therefore, we can raise 1.5 to the power of 6 (6 months) to find the growth factor. 1.56 = 7.59375.
Next, we multiply the initial area of 11 square centimeters by the growth factor: 11 * 7.59375 = 84.53125 square centimeters. Rounding to the nearest tenth, the moss will cover approximately 84.5 cm² when Paul returns.
So, the correct answer is 84.5 cm².
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