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, we can follow these steps:
1. Initial Area: Paul starts with an area of moss covering 11 square centimeters.
2. Growth Rate: The moss area increases by one and a half times each month. In mathematical terms, this means the growth rate is 1.5 times the previous month's area.
3. Time Period: We want to find the area covered after 6 months.
4. Calculation: To calculate the future area, we'll multiply the current area by the growth rate raised to the power of the number of months. This uses the formula for exponential growth:
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Rate})^{\text{Months}}
\][/tex]
5. Compute:
[tex]\[
\text{Final Area} = 11 \, \text{cm}^2 \times (1.5)^6
\][/tex]
6. Result: Evaluating the above expression gives approximately 125.3 square centimeters.
Therefore, when Paul returns after 6 months, the moss will approximately cover an area of 125.3 square centimeters.
The correct answer is:
B. [tex]\(125.3 \, \text{cm}^2\)[/tex]
1. Initial Area: Paul starts with an area of moss covering 11 square centimeters.
2. Growth Rate: The moss area increases by one and a half times each month. In mathematical terms, this means the growth rate is 1.5 times the previous month's area.
3. Time Period: We want to find the area covered after 6 months.
4. Calculation: To calculate the future area, we'll multiply the current area by the growth rate raised to the power of the number of months. This uses the formula for exponential growth:
[tex]\[
\text{Final Area} = \text{Initial Area} \times (\text{Growth Rate})^{\text{Months}}
\][/tex]
5. Compute:
[tex]\[
\text{Final Area} = 11 \, \text{cm}^2 \times (1.5)^6
\][/tex]
6. Result: Evaluating the above expression gives approximately 125.3 square centimeters.
Therefore, when Paul returns after 6 months, the moss will approximately cover an area of 125.3 square centimeters.
The correct answer is:
B. [tex]\(125.3 \, \text{cm}^2\)[/tex]
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