Final answer:
The diet for the basketball player will include approximately 162 grams of fat daily.
Step-by-step explanation:
The nutritionist planning the diet for the basketball player wants him to consume 3,650 calories and 650 grams of food daily. Sixty percent of the total calories will come from carbohydrates and fat. Given that there are 4, 4, and 9 calories per gram for protein, carbohydrates, and fat respectively, we can calculate the grams of fat in the diet.
First, we need to find the total calories from carbohydrates and fat. Since 60% of the total calories should come from carbohydrates and fat, the amount of calories from protein is 1 - 0.6 = 0.4 or 40% of the total.
Next, we calculate the calories from carbohydrates by multiplying the total calories by 0.6, which gives us 3,650 x 0.6 = 2,190 calories. We divide this by 4 (calories per gram of carbohydrates) to find the grams of carbohydrates, which is 2,190 / 4 = 547.5 grams.
Similarly, we calculate the calories from fat by multiplying the total calories by 0.4, which gives us 3,650 x 0.4 = 1,460 calories. We divide this by 9 (calories per gram of fat) to find the grams of fat, which is 1,460 / 9 = 162.2 grams. Therefore, the diet will include approximately 162 grams of fat daily.