1. **State the problem:** We want to predict the day's high temperature $x$ when Malika sold 57 hot cocoas, based on the line of best fit from the scatter plot.
2. **Understand the variables:** The x-axis represents the high temperature in degrees Fahrenheit, and the y-axis represents the number of hot cocoas sold.
3. **Identify the line of best fit:** The line trends downward, indicating a negative slope. We can estimate two points on the line to find its equation.
4. **Estimate two points on the line:** From the graph, approximate points are $(6, 96)$ and $(33, 69)$.
5. **Calculate the slope $m$ of the line:**
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{69 - 96}{33 - 6} = \frac{-27}{27} = -1$$
6. **Find the equation of the line:** Using point-slope form with point $(6, 96)$:
$$y - 96 = -1(x - 6)$$
$$y - 96 = -x + 6$$
$$y = -x + 102$$
7. **Predict the temperature for $y=57$ hot cocoas sold:**
$$57 = -x + 102$$
$$x = 102 - 57$$
$$x = 45$$
8. **Interpretation:** If Malika sold 57 hot cocoas, the predicted high temperature is $45$ degrees Fahrenheit.
Temperature Prediction 4A8B39
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