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Answer :
To find out how much area the moss will cover after 6 months, we need to understand that the moss grows by multiplying its area by one and a half times each month. We start with an initial area of 11 square centimeters.
Here's how we calculate it step-by-step:
1. Understand the Multiplier:
- Each month, the area covered by moss multiplies by 1.5 times.
2. Initial Area:
- The initial area of moss is given as 11 square centimeters.
3. Time Period:
- Paul is measuring the growth over 6 months.
4. Exponential Growth Calculation:
- Since the growth is exponential, we raise the growth multiplier (1.5) to the power of the number of months (6).
- This calculation is: [tex]\((1.5)^6\)[/tex].
5. Applying the Growth:
- Multiply the initial area by the result of the exponential calculation: [tex]\(11 \times (1.5)^6\)[/tex].
After performing these calculations, the approximate area the moss will cover when Paul returns after 6 months is around 125.3 square centimeters.
Therefore, the correct answer is B. [tex]$125.3 cm^2$[/tex].
Here's how we calculate it step-by-step:
1. Understand the Multiplier:
- Each month, the area covered by moss multiplies by 1.5 times.
2. Initial Area:
- The initial area of moss is given as 11 square centimeters.
3. Time Period:
- Paul is measuring the growth over 6 months.
4. Exponential Growth Calculation:
- Since the growth is exponential, we raise the growth multiplier (1.5) to the power of the number of months (6).
- This calculation is: [tex]\((1.5)^6\)[/tex].
5. Applying the Growth:
- Multiply the initial area by the result of the exponential calculation: [tex]\(11 \times (1.5)^6\)[/tex].
After performing these calculations, the approximate area the moss will cover when Paul returns after 6 months is around 125.3 square centimeters.
Therefore, the correct answer is B. [tex]$125.3 cm^2$[/tex].
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