https://file.aiquickdraw.com/mathbot/file/1729715107291l9763x2c.pdf

The worksheet you uploaded is focused on exponential function modeling and contains several exercises. Here’s a brief overview of the main tasks from the worksheet:

1. **Malaria Deaths Exponential Model:**
   - Data: Deaths of children under five from malaria (in thousands), from 2006 onwards.
   - Task: Create an exponential model and predict future deaths in 2030.

2. **MySpace Visitors Exponential Model:**
   - Data: Number of daily MySpace visitors since 2009 (in millions).
   - Task: Create an exponential model, predict when visitors drop below 1 million, and express the model in terms of years.

3. **Alien Landing Video Spread:**
   - Model: An exponential function modeling how fast the alien landing video spreads.
   - Task: Find how long it takes for the video to reach 1 million views and an alternative model based on seconds.

4. **Exponential Regression:**
   - Given function values, model the data with an exponential equation.

5. **TikTok Followers Growth:**
   - Model: The number of TikTok followers growing by 31.4% each week.
   - Task: Create an exponential model to predict when the account will have the most followers on TikTok.

6. **Bacteria Growth:**
   - Model: Exponential growth of bacteria in a petri dish.
   - Task: Predict when the bacteria will reach 1 million.

7. **Car Depreciation:**
   - Model: The value of a car depreciating by 17% each year.
   - Task: Create models for the car’s value over time in years and months.

8. **Finding Constants in Exponential Functions:**
   - Task: Use given data to find constants \(a\) and \(b\) for exponential functions.

9-11. **Exponential Function Analysis:**
   - Task: Analyze various exponential functions and find equations for growth models.

Would you like help solving any of these specific problems or need clarification on a particular concept?

Here are some follow-up questions you may consider:
1. How do you calculate exponential regression models from raw data?
2. What are the steps to predict future values using exponential models?
3. How does converting time from years to months or minutes affect exponential models?
4. What techniques can be used to analyze growth patterns from data tables?
5. How can constants in an exponential function be derived from given points?

**Tip**: In exponential models, the growth or decay rate is key, as it determines how quickly the values change over time.

The worksheet focuses on exponential function modeling, covering tasks such as malaria deaths, MySpace visitors, video view growth, and bacteria growth predictions.

This worksheet provides exercises on exponential models, predicting malaria deaths, MySpace visitor decline, alien video spread, TikTok follower growth, and car depreciation. Learn how to apply exponential functions for real-world data predictions.

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