Final answer:
The ratio of yogurt to flour for a pizza crust recipe is 6 to 11. When scaled using a unit rate of approximately 0.545 cups of yogurt per cup of flour, Suzanne would need approximately 2 3/4 cups of yogurt for 5 cups of flour.
Step-by-step explanation:
The question is about creating ratios and scaling recipes in cooking. Suzanne is making a two-ingredient pizza crust and needs to understand how to adjust the proportions of ingredients appropriately when scaling the recipe.
Part A: Ratio of Ingredients
The ratio of cups of Greek yogurt to cups of flour in Suzanne's pizza crust recipe is 1 1/2 cups of yogurt to 2 3/4 cups of flour. We can simplify the ratio by multiplying both sides by 4 to clear the fractions, resulting in a ratio of 6 to 11 when written as a whole number ratio.
Part B: Complex Fraction and Unit Rate
To express this as a complex fraction and then as a unit rate, we take the ratio of yogurt to flour, which is 6/11. To simplify, you keep the numerator and multiply the reciprocal of the denominator, resulting in approximately 0.545 cups of yogurt per cup of flour.
Part C: Scaling the Recipe
If Suzanne decides to use 5 cups of flour for her scaled recipe, we use the unit rate (about 0.545 cups of yogurt per cup of flour) and multiply by the amount of flour: 0.545 x 5 equals approximately 2.725 cups of yogurt. Written as a mixed number, this is approximately 2 3/4 cups of yogurt.