Applied Math 11
Project #1 : Trail Mix – groups of 2 or 1
Part One: ( 9 marks (3 – 6) ) Due Tuesday October 5
1. Read the textbook page 168.
2. Create a title page for your project with the title “Trail Mix: the healthy choice”.
 Include a place to insert the date when you finish the project
 Include the names of the people (or person) in your group
 Include some graphics / cut and paste pictures that fit the project theme
(active people, trail mix ingredients, etc)
3. Write an introduction (300 – 800 words) to the project in either one large paragraph or
several short ones, covering the questions that are given on page 168. Explain your intention
to create the ultimate trail mix for the healthy active teenager of today.
Applied Math 11
Project #1 : Trail Mix – groups of 2 or 1
Part One: ( 9 marks (3 – 6) ) Due Tuesday October 5
1. Read the textbook page 168.
2. Create a title page for your project with the title “Trail Mix: the healthy choice”.
 Include a place to insert the date when you finish the project
 Include the names of the people (or person) in your group
 Include some graphics / cut and paste pictures that fit the project theme
(active people, trail mix ingredients, etc)
3. Write an introduction (300 – 800 words) to the project in either one large paragraph or
several short ones, covering the questions that are given on page 168. Explain your intention
to create the ultimate trail mix for the healthy active teenager of today.
Applied Math 11
Project #1 : Trail Mix – groups of 2 or 1
Part Two: Due Monday October 11
1. Find a commercial trail mix – either online or in a grocery store
2. List the ingredients in a table like the one on page 198
(or type, or glue on the wrapper if is it nice and flat).
3. Determine the percent of fat and the percent of Carbohydrate in this trail mix.
4. Your company is to develop and market a new trail mix aimed at mountain bikers.
http://www.topdietnews.com/nutrition/Carb_Loading_Nutrition_for_Mountain_Biking.php
“One of the most common practices to improve athletic performance is through nutrition for mountain biking.
Athletes who participate in endurance riding know about getting nutrition for mountain biking by storing extra
energy in the muscle tissue for endurance riding. The right nutrition for mountain biking is essential for endurance
riding and is commonly referred to as "carb loading." Glucose is the fuel the body extracts from the breaking down
of carbohydrates. The more glucose and glycogen the body can access when in endurance situations the longer the
muscles will continue performing at an optimal level and avoid fatigue. The newest scientific findings suggest that
athletes should eat a diet of 70 percent carbohydrates three days prior to an event, and physical workouts should get
shorter prior to an event. The increased carbohydrates should come from reducing protein and fat and not by simply
increasing caloric content otherwise weight gain can result. A diet of higher intake of carbohydrates should be only
temporary as an extended high carbohydrate diet decreases other essential nutrients”
5. Come up with a name for your product.
6. Your new trail mix that has
 at least 70 grams carbohydrates per 100 g
 ** (at least )10% less fat than the one you listed above.
 The less sodium the better - no more than 1000mg
Follow these guidelines:
1. Choose 3 ingredients from the list on page 198 keeping in mind
 low fat
 high carb
 higher vitamin and mineral values (including calcium)
2. Design a trail mix following these parameters:
 Let x, y and z be the # of scoops of your ingredients
 You have at least 10 scoops
 Decide which 2 of your ingredients are the highest carbs lowest fat and write
inequalities with them
 None of your ingredients can be less than or equal to zero
 Write an inequality for your fat content and carb content
3. Carefully Graph them all, shading nicely with different colours. Make a big graph (use a
whole page of graph paper.)
 On the graph paper list your inequalities and show the colour coding.
 TITLE your graph
 label the axes (which ingredient is x and which is y ?)
example.
y
here is your graph paper:
Gonzo Mix – Nutritional Analysis
y: # scoops of raisins
y: # of scoops of raisins
x: # scoops of peanuts
y  10 – x
20x+7y  700
x
x: # of scoops of peanuts
Applied Math 11
Part Three:
Project #1 : Trail Mix – groups of 2 or 1
Due Monday October 18 - On a new page (lined paper or typed)
1. Use your solution graph of the inequalities to come up with 3 different Recipes.
This will be a guess and check method like we did on page 197#8.
** You can have fractions(decimals) of scoops – it doesn’t’ have to be whole scoops)
a. Choose a point in the solution set and determine the amount of mix, fat, and carbs for
that point.
b. Add an appropriate amount of the third ingredient to get you in the slightly over
1000g mark
c. Determine the fat / carbs for this recipe then divide to get the amount for 100g
servings. If it is in the correct range, keep it – if not, fiddle with the amounts to
make it in the correct range.
Repeat for 3 different possibilities.
2. Write them out neatly and clearly, then put the 3 options in the table below – you can
cut and paste it from my web page if you want.
for example:
Option #1 has 2.5 scoops of raisons, 4.7 scoops of sunflower seeds, and 2.8 scoops of chocolate bits.
Option #2 has ___ scoops of raisons, ____ scoops of sunflower seeds, and ___ scoops of chocolate bits.
Option #3 has ___ scoops of raisons, ___ scoops of sunflower seeds, and ___ scoops of chocolate bits.
per 1000g
Calories
Protein (g)
Total Fat (g)
Total Carbohydrates(g)
Dietary Fibre (g)
Calcium (mg)
Iron (mg)
Sodium (mg)
Vitamin C (mg)
Cholesterol (mg)
Saturated Fats (g)
cost for 1000g
Option #1
Option #2
Option #3
3. For each of your three options above, determine the cost of production for 100 g.
** The costs given are for 100g (one scoop) **
Here are some current wholesale prices:
milk chocolate chips $0.69 / 100g
dark chocolate bits
$1.46 / 100g
peanuts:
 raw $0.48 / 100g
 dry roasted $0.69 / 100g
sunflower seeds $0.58 / 100g
raisins $0.31 / 100g
4. CONCLUSION OF PROJECT - this should be as well written as your introductory
paragraph! Make is interesting to read !!
a. Take into account the nutritional facts for your 3 recipes, and the production cost for
each. Make adjustments to your recipes if you wish. Then choose the optimal product.
b. Write out the recipe that you chose and all the reasons why you chose it. There should be
a lot of thinking written out here ! I want to know all of the pros and cons that you
discussed.
c. The leading brand currently charges $8.99 for 1000g.
How much does it cost you to make 1000g ?
** it costs an extra $0.40 for the sealed bag process **
How much will you sell it for ?
How will you convince people to buy yours rather than the leading brand ?