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Answer :
To find out how much area the moss will cover when Paul returns after 6 months, we can follow these steps:
1. Initial Area: Start with the initial area covered by the moss, which is 11 square centimeters.
2. Growth Rate: The moss multiplies by one and a half times (which is the same as multiplying by 1.5) each month.
3. Number of Months: The time period is 6 months.
4. Calculation: To find the area covered after 6 months, we need to multiply the initial area by the growth factor raised to the power of the number of months. This means we calculate:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
5. Result: Carrying out this calculation results in approximately 125.3 square centimeters.
Therefore, after 6 months, the moss will cover approximately 125.3 square centimeters. So, the correct answer is:
A. [tex]\( 125.3 \, \text{cm}^2 \)[/tex]
1. Initial Area: Start with the initial area covered by the moss, which is 11 square centimeters.
2. Growth Rate: The moss multiplies by one and a half times (which is the same as multiplying by 1.5) each month.
3. Number of Months: The time period is 6 months.
4. Calculation: To find the area covered after 6 months, we need to multiply the initial area by the growth factor raised to the power of the number of months. This means we calculate:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
5. Result: Carrying out this calculation results in approximately 125.3 square centimeters.
Therefore, after 6 months, the moss will cover approximately 125.3 square centimeters. So, the correct answer is:
A. [tex]\( 125.3 \, \text{cm}^2 \)[/tex]
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