Representing Functions 3 Different Ways Charles Dana Center Group Clarifying Activity Instructions: Students will be given a problem similar to the following: An empty box weighs 20 grams and a pamphlet weighs 8 grams. Often, several pamphlets are put into a box, and the box is mailed. Represent the relationship between the number of pamphlets and the mailing weight of the box in at least three different ways. Students might: Number of pamphlets Mailing weight 0 1 2 20 28 36 Build a table 3 4 44 52 5 10 20 30 60 100 180 260 Draw a graph Write an Algebraic Formula Let n = # of pamphlets Let w = mailing weight The formula w = 8n + 20 expresses the mailing weight of the box in grams as a function of the number of pamphlets in the box. Give a verbal description To find the mailing weight in grams, multiply the number of pamphlets by 8 and add 20. 1 Representing Functions 3 Different Ways Your Group Activity Instructions: Given the following situation, represent this situation 3 different ways. Possible representations include: a table, a graph, a mapping, a list of ordered pairs, an equation, or verbal description. Jeremy mows lawns in the summer to make money. His services include mowing the lawn, plus putting the grass into bags. He charges his customers $40 to mow the lawn, plus $3 per bag of grass. Today he is mowing Mrs. Laramie’s lawn. Represent the relationship between the number of bags of grass he collects and the total cost of mowing Mrs. Laramie’s lawn. Represent the relationship 3 different ways. 2 Representing Functions 3 Different Ways (continued) 3