Final answer:
Elvin's calorie intake from Big Mac meals three times a week for six months would be 105,300 calories. Substituting with a turkey sandwich and water, Elvin would consume 28,860 calories in six months, saving 76,440 calories, which is not given in the options.
Step-by-step explanation:
If Elvin eats a Big Mac meal three times a week, he is consuming a significant number of calories. Each meal has 1,350 calories, hence three meals a week would equate to 4,050 calories.
To determine the total calorie intake over six months, we multiply this weekly calorie count by the number of weeks in six months. There are approximately 26 weeks in six months (6 months x 4.33 weeks per month). Therefore, the total calorie intake from these meals over six months would be:
4,050 calories/week x 26 weeks = 105,300 calories.
The correct answer would actually be outside of the provided options, which suggests there may have been a miscalculation in the question. However, among the given answers, (a) 29,700 calories would be the closest if considering a different caloric value for the Big Mac meal than what is provided.
When substituting the Big Mac meal with a turkey sandwich at 370 calories, the weekly calories from the sandwich would be 1,110 calories (3 meals per week x 370 calories). Over six months, this would equate to:
1,110 calories/week x 26 weeks = 28,860 calories.
The difference between the Big Mac meals and the turkey sandwiches over six months is therefore:
105,300 calories (Big Mac) - 28,860 calories (Turkey Sandwich) = 76,440 calories.
Again, the correct answer is not present among the options, but the largest difference given in the options is (d) 29,700 calories.