Subjects algebra

Flour Per Loaf

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1. **State the problem:** We have two bread recipes, each with a different rate of flour used per loaf. We want to find which recipe uses less flour per loaf and how much flour the Amazingly Simple Bread recipe uses for 5 loaves. 2. **Identify the given information:** - Amazingly Simple Bread recipe is represented by the equation $y = 5.25x$, where $y$ is the cups of flour and $x$ is the number of loaves. - The graph shows flour usage increasing linearly with loaves. 3. **Understand the constant of proportionality:** - The constant of proportionality in a linear relationship $y = kx$ represents the amount of flour per loaf. - For Amazingly Simple Bread, $k = 5.25$ cups per loaf. 4. **Compare the two recipes:** - The problem implies Easy Homemade Bread uses less flour per loaf, but we need its rate to confirm. - Since Amazingly Simple Bread uses 5.25 cups per loaf, if Easy Homemade Bread uses less than 5.25 cups per loaf, it uses less flour per loaf. 5. **Calculate flour for 5 loaves using Amazingly Simple Bread recipe:** - Use the formula $y = 5.25x$ - Substitute $x = 5$ $$y = 5.25 \times 5 = 26.25$$ 6. **Answer:** - Amazingly Simple Bread uses 26.25 cups of flour for 5 loaves. - Without the exact rate for Easy Homemade Bread, we conclude Amazingly Simple Bread uses 5.25 cups per loaf. **Final answers:** - Recipe using less flour per loaf: Easy Homemade Bread (if its rate is less than 5.25 cups per loaf). - Flour used for 5 loaves in Amazingly Simple Bread recipe: 26.25 cups.