Warm Up. Lesson 10: Interpreting Graphs of Proportional Relationships I can represent proportional relationships by equations. I can explain what a point.

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Presentation transcript:

Warm Up

Lesson 10: Interpreting Graphs of Proportional Relationships I can represent proportional relationships by equations. I can explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation. I can explain what the point (0,0) on the graph of a proportional relationship means in terms of the situation. Interpret the point (1,r) on the graph of a proportional relationship in terms of the situation.

Example 1: Grandma’s Special Chocolate Chip Cookie recipe, which yields 4 dozen cookies, calls for 3 cups of flour.

This is a graph modeling the amount of sugar required to make Grandma’s Chocolate Chip Cookies. Example 2 a) Record the coordinates of flour of the points from the graph in a table. What do these ordered pairs (values) represent? b) Grandma has 1 remaining cup of sugar. How many dozen cookies will she be able to make? Plot the point on the graph above. c) How many dozen cookies can grandma make if she has no sugar? Can you graph this on the grid provided above? What do we call this point?

Exercise 1 The graph below shows the amount of time a person can shower with a certain amount of water. d) Can you use the graph to identify the unit rate? e) Plot the unit rate on the graph. Is the point on the line of this relationship? f) Write the equation to represent the relationship between the number of gallons used and the length of a shower. a)Can you determine by looking at the graph whether the length of the shower is proportional to the number of gallons of water? Explain how you know. b)How long can a person shower with 15 gallons of water and with 60 gallons of water? c)What are the coordinates of point A? Describe point A in the context of the problem.

Exit Ticket

Reflection Question