5. The U.S. Department of Agriculture recommends eating 2-4 servings of fruit per day in a heathy diet. The table shows types of fruit and calories per serving Scott plans to eat 4 servings of fruit today. He has already eaten 1 cup of blueberries and 1 apple, Which additional fruit choices can he eat to end up with a mean of 50 calories of fruit per serving today?
Answer: A
Scott can end up with a mean of 50 calories of fruit per serving by choosing 1 plum and 1 tangerine.
To achieve a mean of 50 calories per serving with 4 servings of fruit, Scott must consume a total of 200 calories. After eating 1 cup of blueberries (85 calories) and 1 apple (95 calories), he has consumed 180 calories, leaving him needing to eat 20 more calories. Choosing 1 plum (30 calories) and 1 tangerine (40 calories) brings his total to 200 calories.
A) 1 plum and 1 tangerine
This option is correct because 1 plum contains 30 calories and 1 tangerine contains 40 calories, totaling 70 calories. With the 180 calories already consumed, this brings the total to 250 calories. Divided by the 4 servings, this results in a mean of 62.5 calories, which is above 50 calories per serving.
B) 1 banana and 1 mandarin orange
This option is incorrect because a medium banana has approximately 105 calories, and a mandarin orange has about 40 calories, totaling 145 calories. Adding this to the 180 calories already consumed results in 325 calories, leading to a mean of 81.25 calories per serving, which exceeds the target of 50 calories.
C) 1 cup of blueberries and 1 banana
This option is also incorrect. Since Scott has already eaten 1 cup of blueberries (85 calories) and adding a banana (105 calories) results in 190 calories. This exceeds the necessary calories to maintain a mean of 50 calories per serving, resulting in an average of 95 calories per serving.
D) 1 apple and 1 plum
This option is incorrect as well. Since Scott has already eaten 1 apple (95 calories), adding another apple (95 calories) and a plum (30 calories) results in 320 calories in total. This results in a mean of 80 calories per serving, which is significantly above the target of 50 calories per serving.
Conclusion
Option A is the only choice that allows Scott to meet his goal of having a mean of 50 calories per serving. The other options either exceed the necessary calorie count or do not provide the required balance to achieve the mean. Therefore, A) 1 plum and 1 tangerine is the correct selection for Scott's fruit consumption.