We appreciate your visit to Paul is gathering data about moss growth in a local forest He measured an area of 11 square centimeters on one particular tree and will. 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 solve this problem, we need to determine the area of moss growth after 6 months, given that the moss multiplies by one and a half times each month. Here are the steps to find the solution:
1. Initial Measurement: Start with the initial area covered by moss, which is 11 square centimeters.
2. Growth Rate: The moss grows by a factor of 1.5 each month. This means that every month, the existing area of the moss is multiplied by 1.5.
3. Time Frame: We need to calculate the area after 6 months.
4. Formulate the Calculation:
- After 1 month, the area would be: [tex]\( 11 \times 1.5 \)[/tex]
- After 2 months, the area would be: [tex]\( 11 \times 1.5^2 \)[/tex]
- This pattern continues until you reach 6 months.
5. General Formula: The area of the moss after 6 months can be calculated as:
[tex]\[
\text{final area} = \text{initial area} \times (\text{growth rate})^{\text{number of months}}
\][/tex]
Substituting the values:
[tex]\[
\text{final area} = 11 \times (1.5)^6
\][/tex]
6. Calculate the Result:
- Compute [tex]\( (1.5)^6 \)[/tex], then multiply the result by 11.
By carrying out these calculations, you will find that the area the moss covers after 6 months is approximately 125.3 square centimeters.
Therefore, the closest answer is:
- D. [tex]\( \quad 125.3 \, cm^2 \)[/tex]
1. Initial Measurement: Start with the initial area covered by moss, which is 11 square centimeters.
2. Growth Rate: The moss grows by a factor of 1.5 each month. This means that every month, the existing area of the moss is multiplied by 1.5.
3. Time Frame: We need to calculate the area after 6 months.
4. Formulate the Calculation:
- After 1 month, the area would be: [tex]\( 11 \times 1.5 \)[/tex]
- After 2 months, the area would be: [tex]\( 11 \times 1.5^2 \)[/tex]
- This pattern continues until you reach 6 months.
5. General Formula: The area of the moss after 6 months can be calculated as:
[tex]\[
\text{final area} = \text{initial area} \times (\text{growth rate})^{\text{number of months}}
\][/tex]
Substituting the values:
[tex]\[
\text{final area} = 11 \times (1.5)^6
\][/tex]
6. Calculate the Result:
- Compute [tex]\( (1.5)^6 \)[/tex], then multiply the result by 11.
By carrying out these calculations, you will find that the area the moss covers after 6 months is approximately 125.3 square centimeters.
Therefore, the closest answer is:
- D. [tex]\( \quad 125.3 \, cm^2 \)[/tex]
Thanks for taking the time to read Paul is gathering data about moss growth in a local forest He measured an area of 11 square centimeters on one particular tree and will. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
