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Answer :
To solve this problem, let's break down the information we have:
1. Initial Area: The moss initially covers an area of 11 square centimeters.
2. Growth Factor: The area of moss multiplies by 1.5 times each month.
3. Time Period: We are looking at a period of 6 months.
We need to determine how much area the moss will cover after 6 months. To do this, we follow these steps:
- Determine the Growth Each Month: Every month, the area is multiplied by the growth factor of 1.5.
- Calculate the Total Growth Over 6 Months: To find the total area after 6 months, we take the initial area and multiply it by the growth factor raised to the power of the number of months (6 in this case).
Here's how the math looks:
[tex]\[ \text{Final Area} = 11 \times (1.5)^6 \][/tex]
- Result: By calculating the above expression, the moss will cover approximately 125.3 square centimeters after 6 months.
Therefore, the correct answer is:
B. [tex]\(125.3 \, \text{cm}^2\)[/tex]
1. Initial Area: The moss initially covers an area of 11 square centimeters.
2. Growth Factor: The area of moss multiplies by 1.5 times each month.
3. Time Period: We are looking at a period of 6 months.
We need to determine how much area the moss will cover after 6 months. To do this, we follow these steps:
- Determine the Growth Each Month: Every month, the area is multiplied by the growth factor of 1.5.
- Calculate the Total Growth Over 6 Months: To find the total area after 6 months, we take the initial area and multiply it by the growth factor raised to the power of the number of months (6 in this case).
Here's how the math looks:
[tex]\[ \text{Final Area} = 11 \times (1.5)^6 \][/tex]
- Result: By calculating the above expression, the moss will cover approximately 125.3 square centimeters after 6 months.
Therefore, the correct answer is:
B. [tex]\(125.3 \, \text{cm}^2\)[/tex]
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