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The chart above shows the relationship between grams of protein per 100 grams of food and the cost (USD) per 30 grams of protein for various food items. The data points are labeled with the food name, and the color represents the food category of each item.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
A family looking to incorporate two different food categories at the lowest cost, with each food having more than 20 grams of protein per 100 grams of food, should include in their diet.
A family looking to incorporate two different food categories at the highest cost, with each food having at least 15 grams of protein per 100 grams of food, should include in their diet.
The chart above shows the relationship between grams of protein per 100 grams of food and the cost (USD) per 30 grams of protein for various food items. The data points are labeled with the food name, and the color represents the food category of each item.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
A family looking to incorporate two different food categories at the lowest cost, with each food having more than 20 grams of protein per 100 grams of food, should include in their diet.
A family looking to incorporate two different food categories at the highest cost, with each food having at least 15 grams of protein per 100 grams of food, should include in their diet.
Show more
Drop-down 1:
• We are asked to select two food items that both have more than 20 grams of protein per 100 grams of food. Additionally, the two items must come from different food categories.
Looking at the chart, we see that several foods meet the protein requirement — including Peanut, Soybean, and Chicken Breast. However, Peanut and Soybean both belong to the Legume category, so selecting both would violate the condition of using two different categories.
Peanut (Legume) has the lowest cost among qualifying foods. To meet the requirement of using a different category, we must pair Peanut with the lowest-cost item from another category — which is Chicken Breast (Meats).
Drop-down 2:
• We are asked to select two food items that each have at least 15 grams of protein per 100 grams of food. Again, the two items must come from different food categories.
Looking at the chart, Shrimp (Fish) has the highest cost among qualifying foods. To meet the requirement of using a different category, the next most expensive item is Pork Chops (Meats).
For statement 1, we are tasked with identifying two food items from different categories that are located to the right of the vertical line at 20 grams of protein per 100 grams of food, and we need to select these foods at the lowest cost.
Upon reviewing the graph, we see that two foods from the Legume category (Soybean and Peanut) satisfy the condition of having more than 20 grams of protein. Since Peanut has a lower cost than Soybean, one of the selected foods must be Peanut.
The only other food item from a different category that falls within this range of protein content is Chicken Breast, which belongs to the Meats category.
Therefore, the correct selection for statement 1 is Peanut and Chicken Breast.
For statement 2, we need to find two food items from different categories that are located to the right of the vertical line at 15 grams of protein per 100 grams of food, and we need to select these foods at the highest cost.
From the Fish category, Shrimp has the highest cost of the items that meet the criteria of at least 15 grams of protein per 100 grams of food.
The next item that fits the highest cost criteria from a different category is Pork Chops, which belongs to the Meats category.
Therefore, the correct selection for statement 2 is Shrimp and Pork Chops.
Note: The units of the x and y axes may appear confusing, but it ultimately doesn't matter since all items are scaled to the same units.