Subjects algebra

Chicken Pie 48D57D

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1. **State the problem:** We have a line modeling a recipe for chicken pie with the equation $y = 6x + 14$, where $x$ is the number of people and $y$ is the ounces of chicken. 2. **Write the equation:** The equation is already given in slope-intercept form: $$y = 6x + 14$$ Here, the slope $6$ means each additional person requires 6 more ounces of chicken, and the y-intercept $14$ means 14 ounces are needed regardless of the number of people. 3. **Find how many people can be fed with 26 ounces of chicken:** We set $y = 26$ and solve for $x$: $$26 = 6x + 14$$ 4. **Isolate $x$:** $$26 - 14 = 6x$$ $$12 = 6x$$ 5. **Divide both sides by 6:** $$\cancel{6} \times 2 = \cancel{6} x$$ $$2 = x$$ 6. **Interpretation:** You can feed 2 people with 26 ounces of chicken according to the recipe.