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Warm ups Where does the graph of y = 2x – 8 intersect the x-axis? (4,0) Find the slope between (-2,5) & (-2,7) Undefined. Find the root/solution of 3x – 15 = y 5 3-6 PROPORTIONAL AND NONPROPORTIONAL RELATIONSHIPS Objective: Write an equation for a proportional relationship. Write a relationship for a nonproportional relationship. Concept Example 1 A A. ENERGY The table shows the number of miles driven for each hour of driving. Graph the data. What can you deduce from the pattern about the relationship between the number of hours of driving h and the numbers of miles driven m? Answer: There is a linear relationship between hours of driving and the number of miles driven. Proportional Relationships Example 1 B B. Write an equation to describe this relationship. Look at the relationship between the domain and the range to find a pattern that can be described as an equation. Answer: m = 50h Proportional Relationships Try with a Mathlete Write an equation to describe the relationship between hours and miles walked. A. m = 3h B. m = 2h C. m = 1.5h D. m = 1h Example 2 (nonproportional) Find a function that represents the relationship shown x 1 2 3 4 y 9 12 15 18 f (x) = 3x + 6 Nonproportional Relationships Example 3 Find a function that represents the relationship shown x 1 2 3 4 y 3 2 1 0 f (x) = -x + 4 Nonproportional Relationships Example 4 Find a function that represents the relationship shown x 1 2 3 4 y 3 5 7 9 f (x) = 2x +1 Nonproportional Relationships TOO Write an equation in function notation for the relation that is graphed. A. f(x) = x + 2 B. f(x) = 2x C. f(x) = 2x + 2 D. f(x) = 2x + 1 Homework • 3-6 Worksheet