**Activity: Smallville Population History****Instructions:**Please fill in the information about Smallville's population history based on the data available. **Questions:**1. **What was the population of Smallville when it was founded?** - The population of Smallville when it was founded was \( \_\_\_\_\_\_\_\_\_\_ \).2. **When did Smallville become a ghost town (nobody lived there anymore)?** - Give the year and the month, where the month corresponds to January as 1, February as 2, etc. - Smallville became a ghost town in month \( \_\_\_\_\_\_\_\_\_\_ \) of \( \_\_\_\_\_\_\_\_\_\_ \).3. **What was the largest population of Smallville after 1905? When did Smallville reach that population?** - Again, include the month and year. - Round your answer to the nearest ten people. - The largest population of Smallville after 1905 was \( \_\_\_\_\_\_\_\_\_\_ \) people. - Smallville reached this population in month \( \_\_\_\_\_\_\_\_\_\_ \) of \( \_\_\_\_\_\_\_\_\_\_ \).**Graph/Diagram Explanation:**There are no graphs or diagrams present in the image. Only text fields are provided for input. **Note:** You can save your progress by clicking the "Save for Later" button. Once you have attempted all questions, submit your answers by clicking the "Submit" button.---**File References and Naming Conventions:**- **Comm115 Week 10.pdf**- **Untitled present...pdf**- **Comm115 Theor...pdf**- **Communication...pdf**These files are presumably related to coursework, presentations, theories, and communication materials in the course Comm115. Ensure to name your files appropriately for easy reference and organization. **Mathematics Problem: Population Dynamics of Smallsville****Question 20 of 20**The town of Smallsville was founded in 1900. Its population \( y \) (in hundreds) is given by the equation:\[ y = -0.3x^4 + 5.1x^3 - 27x^2 + 43.2x + 15, \]where \( x \) is the number of years since 1900. Use a graph in the window \( 0 \leq x \leq 10, -6 \leq y \leq 39 \).### (a) What was the population of Smallsville when it was founded?*The population of Smallsville when it was founded was* \[\_\_\_\_\_\_\_\_\_\_\]### (b) When did Smallsville become a ghost town (nobody lived there anymore)? Give the year and the month, where month 1 corresponds to January.*Smallsville became a ghost town in month* \[\_\_\_\_\_\_\_\] *of* \[\_\_\_\_\_\_\_\]### (c) What was the largest population of Smallsville after 1905? When did Smallsville reach that population? Again, include the month and year.*Round your answer to the nearest ten people.**The largest population of Smallsville after 1905 was* \[\_\_\_\_\_\_\_\_\_\] *people.***Explanation of Graphs and Diagrams:**- The provided equation models the population dynamics of Smallsville over time.- Graphing this equation within the specified ranges helps identify key points such as population at the founding year, when the population dropped to zero (ghost town), and the peak population after 1905.

Answered: Image /qna-images/answer/1104d78e-7c6c-4b12-9298-9681f2f312f3.jpg

The population of Smallsville when it was founded was i (b) When did Smallsville become a ghost town (nobody lived there anymore)? Give the year and the month, wher- corresponds to January. Smallsville became a ghost town in month i of i (c) What was the largest population of Smallsville after 1905? When did Smallsville reach that population? Again, and year. Round your answer to the nearest ten people. The largest population of Smallsville after 1905 was people.

The population of Smallsville when it was founded was i (b) When did Smallsville become a ghost town (nobody lived there anymore)? Give the year and the month, wher- corresponds to January. Smallsville became a ghost town in month i of i (c) What was the largest population of Smallsville after 1905? When did Smallsville reach that population? Again, and year. Round your answer to the nearest ten people. The largest population of Smallsville after 1905 was people.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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