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The provided image includes a problem about predicting the amount of solid waste generated based on historical data. Here's an overview of the task:

### Problem Summary:
You are given a table showing tons of solid waste generated in Florida from 1990 to 1994, with the following dataThe provided image includes a problem about predicting the amount of solid waste generated based on historical data. Here's an overview of the task:

### Problem Summary:
You are given a table showing tons of solid waste generated in Florida from 1990 to 1994, with the following 

| Year  | Tons of Solid Waste Generated (in thousands) |
|-------|----------------------------------------------|
| 1990  | 19,358                                       |
| 1991  | 19,484                                       |
| 1992  | 20,293                                       |
| 1993  | 21,499                                       |
| 1994  | 23,561                                       |

### Step-by-step approach:

#### 1. Scatterplot and Define Variables:
You are asked to make a scatterplot and set \(x = 0\) for the year 1990. Thus, \(x\) is the number of years since 1990. Therefore, the \(x\)-values for the years are:

- \(x = 0\) for 1990
- \(x = 1\) for 1991
- \(x = 2\) for 1992
- \(x = 3\) for 1993
- \(x = 4\) for 1994

The \(y\)-values represent the waste generated in thousands of tons.

#### 2. Find a Function That Fits the Data:
You are asked to determine a function (likely linear) that best fits the data.

- The given linear model is: \( y = 1043.1x + 18,764.8 \)
  - Here, \(y\) represents the tons of solid waste (in thousands), and \(x\) represents the number of years since 1990.

#### 3. Predict Waste for 1995-1999:
Using the linear equation, you can predict the waste generated for future years by plugging in values of \(x\) for the years 1995 to 1999.

Would you like assistance in verifying or calculating specific predictions using this model? 

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### Relative questions to explore:
1. How would you plot the scatterplot of the given data points?
2. How do you calculate the slope and intercept for the best-fit line?
3. What will the predicted tons of solid waste be for the year 1995?
4. How accurate is the model for predictions beyond 1994?
5. What factors could affect the accuracy of this model in predicting future waste?

#### Tip:
Linear models work well for short-term predictions, but as time progresses, factors like population growth or recycling efforts may introduce non-linear trends.

As Earth's population continues to grow, the solid waste generated by the population grows with it. Governments must plan for disposal and recycling of ever-growing amounts of solid waste. Given the following data on the waste generated in Florida from 1990-1994, how can we construct a function to predict the waste generated in the years 1995-1999?

Learn how to use a linear equation to predict solid waste generation based on historical data from Florida (1990-1994). This example walks through creating a scatterplot, calculating the slope and intercept for the best-fit line, and using the equation to forecast future waste for 1995-1999.

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