9. Healthy Animals
QUIZ - Due Friday 12.18
Read:
Curtis is concerned about the diet he is feeding his pet. A nutritionist has recommended that the pet's
diet include at least 30 grams of protein and at least 20 grams of fat per day.
Curtis has two types of foods available - Food A and Food B.
Each ounce of Food A supplies 3 grams of protein and 4 grams of fat
Each ounce of Food B supplies 5 grams of protein and 2 grams of fat
Curtis's pet should not eat
of more than 14 ounces of food per day.
Curtis would like to vary the diet for his pet within these requirements, and so he needs to know what
his options are.
Defining variables:
A= the ounces of Food A
B = the ounces of Food B
Problems:
Question
Answer
•30 grams of protein
1. This problem has three constraints.
List the three constraints in this problem
• 20 grams of fat
Total ounces 14
• 3a+5b>=30
2. Use the variables listed in the
description above to write three
inequalities to
describe the constraints of the problem
4a+2b>=20
• atbc-14
3. Graph all 3 inequalities on the same coordinate plane, included on the following page.
4. Identify 1 point on the coordinate plane that is a solution to all three inequalities. Explain what
your solution means in terms of the problem.