1. **State the problem:** We are given a linear model for the number of hot coffees sold, $y = -0.7x + 80$, where $x$ is the temperature in degrees Fahrenheit. We want to find the predicted number of hot coffees sold when the temperature is 70°F.
2. **Write the formula:** The linear model is
$$y = -0.7x + 80$$
3. **Substitute the given temperature:** Replace $x$ with 70:
$$y = -0.7 \times 70 + 80$$
4. **Calculate the multiplication:**
$$y = -49 + 80$$
5. **Simplify the expression:**
$$y = 31$$
6. **Interpretation:** The model predicts that when the temperature is 70°F, the cafe will sell 31 hot coffees.
This means as temperature increases, fewer hot coffees are sold, consistent with the negative slope in the model.
Coffee Sales 888457
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