We appreciate your visit to Select the correct answer Paul is gathering data about moss growth in a local forest He measured an area of 11 square centimeters on one. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find out how much area the moss will cover when Paul returns in 6 months, we need to consider the growth of the moss over this period.
1. Initial Area: Start by noting 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 a factor of 1.5) each month.
3. Number of Months: Paul will return in 6 months.
4. Exponential Growth Calculation: To find the total area covered by the moss after 6 months, we apply the formula for exponential growth. This means we multiply the initial area by the growth rate raised to the power of the number of months.
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Rate})^{\text{Number of Months}}
\][/tex]
Plugging in the values:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
5. Calculate the Result:
After performing the calculation, we find that the final area is approximately 125.3 square centimeters.
Therefore, the correct answer is B. [tex]\(125.3 \, \text{cm}^2\)[/tex].
1. Initial Area: Start by noting 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 a factor of 1.5) each month.
3. Number of Months: Paul will return in 6 months.
4. Exponential Growth Calculation: To find the total area covered by the moss after 6 months, we apply the formula for exponential growth. This means we multiply the initial area by the growth rate raised to the power of the number of months.
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Rate})^{\text{Number of Months}}
\][/tex]
Plugging in the values:
[tex]\[
\text{Final Area} = 11 \times (1.5)^6
\][/tex]
5. Calculate the Result:
After performing the calculation, we find that the final area is approximately 125.3 square centimeters.
Therefore, the correct answer is B. [tex]\(125.3 \, \text{cm}^2\)[/tex].
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