Problem 2 A common formula used for counting calories of a food consumed is given by: TotCal(P, F, C, D) = 4P+9F+4(C- D) Where T is the total number of calories, P is the number of grams of protein, Fis the number of grams of fat, C the total number of grams carbohydrate, and D the number of grams of dietary fiber We define the function with the following command. Be sure to execute it! Inf-)= TotCal [P_, F_, C_, D_] := 4+P + 9+ F +4* (C - D) Part 1 Explain what TotCal(14, 8, 7, 5) represents, and then evaluate it. Part 2 The following is the nutritional information for a 1 cup serving of pecans: Nutrition Facts Serving Size 1 cup, chopped 109g (109 g) Amount Per Serving Calories 753 Calories from Fat 657 % Daily Value Total Fat 78g 121% Saturated Fat 7g Trans Fat Cholesterol Omg 34% 0% Sodium Omg Total Carbohydrate 15g Dietary Fiber 10g Sugars 4g Protein 10g 0% 5% 42% Vitamin A 1% . Vitamin C 2% 8%. Iron Calcium "Percent Daily Values are based on a 2.000 calorie diet Your daily values may be higher or lower depending on your calorie needs 15% Owww.NutritionData.com Express the total number of calories from a 1 cup serving of pecans in function notation using the function TotCal(P, F, C, D).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Part 1
Explain what TotCal(14, 8, 7, 5) represents, and then evaluate it.
Part 2
The following is the nutritional information for a 1 cup serving of pecans:
Nutrition Facts
Serving Size 1 cup, chopped 109g (109 g)
Amount Per Serving
Calories 753
Calories from Fat 657
% Daily Value*
Total Fat 78g
121%
Saturated Fat 7g
34%
Trans Fat
Cholesterol Omg
0%
Sodium Omg
Total Carbohydrate 15g
0%
5%
Dietary Fiber 10g
Sugars 4g
Protein 10g
42%
1% • Vitamin C
8% • Iron
Vitamin A
2%
Calcium
15%
*Percent Daily Values are based on a 2,000 calorie diet.
Your daily values may be higher or lower depending on
your calorie needs.
©www.NutritionData.com
Express the total number of calories from a 1 cup serving of pecans in function notation using the function TotCal(P, F, C, D).
Part 3
Using your answer from Part 2, and being honest with yourself that you could not simply eat 1 cup of pecans, compute the total number of calories in a 2.5 cup serving.
Part 4
How many servings can you have if you are allowed a 500 calorie snack?
Transcribed Image Text:Part 1 Explain what TotCal(14, 8, 7, 5) represents, and then evaluate it. Part 2 The following is the nutritional information for a 1 cup serving of pecans: Nutrition Facts Serving Size 1 cup, chopped 109g (109 g) Amount Per Serving Calories 753 Calories from Fat 657 % Daily Value* Total Fat 78g 121% Saturated Fat 7g 34% Trans Fat Cholesterol Omg 0% Sodium Omg Total Carbohydrate 15g 0% 5% Dietary Fiber 10g Sugars 4g Protein 10g 42% 1% • Vitamin C 8% • Iron Vitamin A 2% Calcium 15% *Percent Daily Values are based on a 2,000 calorie diet. Your daily values may be higher or lower depending on your calorie needs. ©www.NutritionData.com Express the total number of calories from a 1 cup serving of pecans in function notation using the function TotCal(P, F, C, D). Part 3 Using your answer from Part 2, and being honest with yourself that you could not simply eat 1 cup of pecans, compute the total number of calories in a 2.5 cup serving. Part 4 How many servings can you have if you are allowed a 500 calorie snack?
Problem 2
A common formula used for counting calories of a food consumed is given by:
TotCal(P, F, C, D) = 4P+9F+4 (C– D)
Where T is the total number of calories, P is the number of grams of protein, F is the number of grams of fat, C the total number of grams carbohydrate, and D the number of grams of dietary fiber.
We define the function with the following command. Be sure to execute it!
In[-]= TotCal[P_, F_, C_, D_] := 4 *P + 9* F + 4 * (C - D)
Part 1
Explain what TotCal(14, 8, 7, 5) represents, and then evaluate it.
Part 2
The following is the nutritional information for a 1 cup serving of pecans:
Nutrition Facts
Serving Size 1 cup, chopped 109g (109 g)
Amount Per Serving
Calories 753
Calories from Fat 657
% Daily Value
Total Fat 789
121%
Saturated Fat 7g
34%
Trans Fat
Cholesterol Omg
0%
Sodium Omg
0%
Total Carbohydrate 15g
5%
Dietary Fiber 10g
Sugars 4g
42%
Protein 10g
Vitamin A
1% • Vitamin C
2%
Calcium
8% • Iron
15%
"Percent Daily Values are based on a 2,000 calorie diet
Your daily values may be higher or lower depending on
your calorie needs.
©www.NutritionData.com
Express the total number of calories from a 1 cup serving of pecans in function notation using the function TotCal(P, F, C, D).
Transcribed Image Text:Problem 2 A common formula used for counting calories of a food consumed is given by: TotCal(P, F, C, D) = 4P+9F+4 (C– D) Where T is the total number of calories, P is the number of grams of protein, F is the number of grams of fat, C the total number of grams carbohydrate, and D the number of grams of dietary fiber. We define the function with the following command. Be sure to execute it! In[-]= TotCal[P_, F_, C_, D_] := 4 *P + 9* F + 4 * (C - D) Part 1 Explain what TotCal(14, 8, 7, 5) represents, and then evaluate it. Part 2 The following is the nutritional information for a 1 cup serving of pecans: Nutrition Facts Serving Size 1 cup, chopped 109g (109 g) Amount Per Serving Calories 753 Calories from Fat 657 % Daily Value Total Fat 789 121% Saturated Fat 7g 34% Trans Fat Cholesterol Omg 0% Sodium Omg 0% Total Carbohydrate 15g 5% Dietary Fiber 10g Sugars 4g 42% Protein 10g Vitamin A 1% • Vitamin C 2% Calcium 8% • Iron 15% "Percent Daily Values are based on a 2,000 calorie diet Your daily values may be higher or lower depending on your calorie needs. ©www.NutritionData.com Express the total number of calories from a 1 cup serving of pecans in function notation using the function TotCal(P, F, C, D).
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