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Answer :
To determine how much area the moss will cover after 6 months, we need to account for the growth of the moss each month. Initially, Paul measured an area of 11 square centimeters covered by moss. The moss multiplies by one and a half times (or 1.5) each month. Let's see how we can calculate the area after 6 months:
1. Initial Area: Start with the initial area of 11 square centimeters.
2. Monthly Growth Factor: Each month, the moss grows 1.5 times its previous area.
3. Number of Months: Paul will return after 6 months to measure the growth.
4. Calculate the Area After 6 Months:
- To find the area after 6 months, multiply the initial area by the growth factor raised to the power of the number of months. This can be represented by the formula:
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Factor})^{\text{Number of Months}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
- After performing the calculation, the approximate area the moss will cover after 6 months is 125.3 square centimeters.
So, the correct answer is C. 125.3 cm².
1. Initial Area: Start with the initial area of 11 square centimeters.
2. Monthly Growth Factor: Each month, the moss grows 1.5 times its previous area.
3. Number of Months: Paul will return after 6 months to measure the growth.
4. Calculate the Area After 6 Months:
- To find the area after 6 months, multiply the initial area by the growth factor raised to the power of the number of months. This can be represented by the formula:
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Factor})^{\text{Number of Months}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
- After performing the calculation, the approximate area the moss will cover after 6 months is 125.3 square centimeters.
So, the correct answer is C. 125.3 cm².
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