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Answer :
To solve this question, we need to determine the area of moss after 6 months, given that it multiplies by one and a half times each month.
1. Initial Area: The area currently covered by moss is 11 square centimeters.
2. Growth Factor: Each month, the moss multiplies by 1.5 (one and a half times), meaning it increases by a factor of 1.5.
3. Time Period: Paul will measure the moss growth after 6 months.
To find out the area covered by moss after 6 months, we can use the formula for exponential growth:
[tex]\[ \text{Final Area} = \text{Initial Area} \times (\text{Growth Factor})^{\text{Number of Months}} \][/tex]
Substituting the given values into this formula:
[tex]\[ \text{Final Area} = 11 \times (1.5)^6 \][/tex]
When you calculate this expression, you get a final area of approximately 125.3 square centimeters.
Therefore, the correct answer is:
C. [tex]\(125.3 \, \text{cm}^2\)[/tex]
1. Initial Area: The area currently covered by moss is 11 square centimeters.
2. Growth Factor: Each month, the moss multiplies by 1.5 (one and a half times), meaning it increases by a factor of 1.5.
3. Time Period: Paul will measure the moss growth after 6 months.
To find out the area covered by moss after 6 months, we can use the formula for exponential growth:
[tex]\[ \text{Final Area} = \text{Initial Area} \times (\text{Growth Factor})^{\text{Number of Months}} \][/tex]
Substituting the given values into this formula:
[tex]\[ \text{Final Area} = 11 \times (1.5)^6 \][/tex]
When you calculate this expression, you get a final area of approximately 125.3 square centimeters.
Therefore, the correct answer is:
C. [tex]\(125.3 \, \text{cm}^2\)[/tex]
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