Subjects algebra

Coffee Sales 888457

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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.