Answer:
Explanation:
(a) To determine if the relationship between the amount of dry ingredients and the amount of wet ingredients is proportional, we need to check if the ratios of dry to wet ingredients are the same for each row of data. Let's calculate the ratios for the first three rows:For 2.5 cups of dry ingredients and 12.5 oz of wet ingredients:
Dry/wet = 2.5/12.5 = 0.2For 12.5 cups of dry ingredients and 15 oz of wet ingredients:
Dry/wet = 12.5/15 = 0.83For 3 cups of dry ingredients and 25 oz of wet ingredients:
Dry/wet = 3/25 = 0.12
Since the ratios are not the same for each row of data, we can conclude that the relationship between the amount of dry ingredients and the amount of wet ingredients is not proportional.(
b) We can set up a proportion using one of the ratios from part (a) to find the amount of dry ingredients needed for 7.5 oz of wet ingredients:
Dry/wet = 2.5/12.5Dry/7.5 = 2.5/12.5Dry = (2.5/12.5) * 7.5Dry = 1.5
Therefore, 1.5 cups of dry ingredients are needed for 7.5 oz of wet ingredients.