Kevins dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least 2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?

Section 2.1. Recommended Problems (pg. 27): 1, 3, 6. Functions in the Real World • Function: rule associating the values of one quantity (dependent variable) with the values of another (independent variable); in other words, for every single value of the independent variable there is precisely one associated value for the dependent variable o Depicted in one/four ways: 1. Formulas/equations 2. Graphs 3. Tables 4. Words A. Representing Functions with Formulas and Equations • Think of this as “a relationship between two quantities that is given as a formula” • EXAMPLES: 2 o Formula for area of a circle: A = π r o