Complete the pattern… 1 =2=3=4=5= 6=7=8=9=10=. Proportionality If two quantities change by a related amount they are said to be in proportion or PROPORTIONALto.

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Presentation transcript:

Complete the pattern… 1 =2=3=4=5= 6=7=8=9=10=

Proportionality If two quantities change by a related amount they are said to be in proportion or PROPORTIONALto each other. The symbol that indicates proportionality is

Direct Proportionality 4 is a relationship between quantities such that when one increases the other increases in the same ratio or when one quantity decreases the other decreases in the same ratio.

Constant of Proportionality 4 When quantity a is directly proportional to quantity b, this is written as a b. the fixed relationship between the quantities is called the constant of proportionality and the relationship can also be written as a = kb.

EXAMPLE IF ONE WATERMELON FEEDS 8 PEOPLE, THE RATIO OF MELONS TO PEOPLE IS 1 : 8 HOW MANY WATERMELONS WOULD FEED 16 PEOPLE? HOW MANY WATERMELONS WOULD BE NEEDED TO FEED 4 PEOPLE? THE NUMBER OF PEOPLE FED IS IN DIRECT PROPORTION TO THE NUMBER OF WATERMELONS. THE RATIO OF PEOPLE (QUANTITY A) TO WATERMELONS (QUANTITY B) IS 8 : 1, SO THE CONSTANT OF PROPORTIONALITY IS 8. THIS MEANS THAT THE NUMBER OF PEOPLE THAT CAN BE FED IS ALWAYS 8 TIMES THE NUMBER OF MELONS.

A GRAPH IS A GOOD WAY TO HELP VISUALISE DIRECT PROPORTION

SET A SET B SET C SET D For the following sets of numbers: –Are the values directly proportional? –If so, find the constant of proportionality.