Warm Up Problem k + 2.24 = 6.8.

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Presentation transcript:

Warm Up Problem k + 2.24 = 6.8

Multiple Representations of Functions Lesson 8-4

Objectives I can use equations to represent functions. I can use graphs and tables to represent functions.

Example 1 The drama club is holding a bake sale. They are charging $5 for each pie they sell. Write an equation to find the total amount earned t for selling p pies. Words: Total earned equals $5 times the number of pies sold Variable: t = total; p = pies Equation: t = 5p

Example 2 In a science report, Alexis finds that the average adult breathes 14 times each minute when not active. Write an equation to find the total breaths b a non-active person takes in m minutes. b = breaths; m = minutes Total breaths equals 14 times the number of minutes Equation: b = 14m

Got It? 1) A mouse can travel 8 miles per hour. Write an equation to find the total distance d a mouse can travel in h hours. 2) Natalie can make 36 cookies each hour. Write an equation to find the total number of cookies c that she can make in h hours.

Example 3 The Student Council is holding a car wash to raise money. They are charging $7 for each car they wash. Write an equation and make a function table to show the relationship between the number of cars washed c and the total amount earned t. t = 7c Cars washed, c 7c Total Earned ($), t 1 7 (1) 7 2 7 (2) 14 3 7 (3) 21 4 7 (4) 28

Example 4 Graph the ordered pairs from example 3. Analyze the graph. (1, 7), (2, 14), (3, 21), and (4, 28) The graph is linear because the amount earned increases by $7 for each car washed. Total Earned ($) Cars Washed

Got it? While in normal flight, a bald eagle flies at an average speed of 30 miles per hour. 3) Write an equation and make a function table to show the relationship between the total distance d that a bald eagle can travel in h hours. 4) Graph the ordered pairs of the function. Analyze the graph.

Homework Hints #1c. When it says “Analyze the graph.” it means to answer these questions. 1. Is the graph a line or a curve? 2. How much does each point increase by? #2a. The equation starts out like this…$49.90 + 2x = ?? #2c. “Another friend” means that x is 3. #3a. The equation starts out like this…t = 3 + … #3d. Show work.

Homework Hints #4. Make a table and then graph it. Is it a line? A curve? #5. Make a table for each store.