4.7 PROPORTIONAL RELATIONSHIPS I CAN IDENTIFY PROPORTIONAL RELATIONSHIPS AND FIND CONSTANTS OF PROPORTIONALITY BY USING PROPORTIONS.

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Presentation transcript:

4.7 PROPORTIONAL RELATIONSHIPS I CAN IDENTIFY PROPORTIONAL RELATIONSHIPS AND FIND CONSTANTS OF PROPORTIONALITY BY USING PROPORTIONS.

USING A TABLE The table shows Keisha’s distance during a bike- a-thon. Is there a proportional relationship between time and distance? Compare the ratios of distance and time. Are they proportional? Well, if you use cross products… 52=52 so yes!

USING A GRAPH The graph show’s the same data. Keisha’s distance over time. What is her speed in miles per hour? Find her distance when the time is 1 hr. If the line passes through (0,0) and (2, 13) then it must go through (1, 6.5) So the speed is 6.5 mph This is the unit rate.

CONSTANT OF PROPORTIONALITY Value of the ratio of quantities in a proportional relationship. Equivalent to the unit rate.

WRITING AN EQUATION USING CONSTANT OF PROPORTIONALITY

ASSIGNMENT ODDS p. 167 #7-19