Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To analyze the visitor data and make predictions for next year, we'll follow these reasoning steps:
1. Modeling the Data:
- Based on the given visitor data for the last nine years:
[tex]\[ \begin{array}{|l|c|c|c|c|c|c|c|c|c|} \hline \text{Year} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Visitors} & 452 & 360 & 348 & 302 & 198 & 124 & 204 & 308 & 398 \\ \hline \end{array} \][/tex]
- Our goal is to fit a mathematical model to this data to predict the number of visitors next year (year 10).
2. Choosing the Function Type:
- Various types of functions can be used for modeling data such as linear, quadratic, logarithmic, or exponential functions.
- In this case, after examining the trend and fitting models, the most suitable function that describes the data is a quadratic function.
3. Prediction for Next Year:
- Using the quadratic model, we calculate the predicted number of visitors for year 10.
- The model predicts that there would be approximately 484.62 visitors next year.
4. Planning for Visitors:
- Since 484.62 is greater than 400, the park management should plan for more than 400 visitors next year.
Therefore, the correct completions for the statements are:
The visitor data is best modeled by a quadratic function.
Based on the model, the state park management should plan for more than 400 visitors next year.
1. Modeling the Data:
- Based on the given visitor data for the last nine years:
[tex]\[ \begin{array}{|l|c|c|c|c|c|c|c|c|c|} \hline \text{Year} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{Visitors} & 452 & 360 & 348 & 302 & 198 & 124 & 204 & 308 & 398 \\ \hline \end{array} \][/tex]
- Our goal is to fit a mathematical model to this data to predict the number of visitors next year (year 10).
2. Choosing the Function Type:
- Various types of functions can be used for modeling data such as linear, quadratic, logarithmic, or exponential functions.
- In this case, after examining the trend and fitting models, the most suitable function that describes the data is a quadratic function.
3. Prediction for Next Year:
- Using the quadratic model, we calculate the predicted number of visitors for year 10.
- The model predicts that there would be approximately 484.62 visitors next year.
4. Planning for Visitors:
- Since 484.62 is greater than 400, the park management should plan for more than 400 visitors next year.
Therefore, the correct completions for the statements are:
The visitor data is best modeled by a quadratic function.
Based on the model, the state park management should plan for more than 400 visitors next year.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.