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Lesson 69:

*constant of proportionality – the number that relates 2
variables in a direct variation

*direct variation – a proportional relationship between 2
variables in which one variable is a constant multiple of the
other, that is, the quotient of the 2 variables is a constant




                                                                1
*dependent variable - the variable in an equation whose value is
determined by the value chosen for one or more of the other
variables

*independent variable - a variable in an equation whose value
can be freely chosen




                                                                   2
How to tell if a function is an example of direct variation:

--the graph intersects the origin

--the function is linear (forms a line)




                                                               3
Lesson 69 Examples:
pg. 467
A) p = 3s
     c. of p. = 3




                      4
B) No - not proportional
    Not direct variation - Sergio's age isn't a constant multiple of
Fernando's.



C)   20 gallons       30 gallons            C. of P. =
     166 pounds           X                      166 pounds
                                                 20 gallons



                              p = 8.3g




                                                                       5

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7th PreAlg - L69--April10

  • 1. Lesson 69: *constant of proportionality – the number that relates 2 variables in a direct variation *direct variation – a proportional relationship between 2 variables in which one variable is a constant multiple of the other, that is, the quotient of the 2 variables is a constant 1
  • 2. *dependent variable - the variable in an equation whose value is determined by the value chosen for one or more of the other variables *independent variable - a variable in an equation whose value can be freely chosen 2
  • 3. How to tell if a function is an example of direct variation: --the graph intersects the origin --the function is linear (forms a line) 3
  • 4. Lesson 69 Examples: pg. 467 A) p = 3s c. of p. = 3 4
  • 5. B) No - not proportional Not direct variation - Sergio's age isn't a constant multiple of Fernando's. C) 20 gallons 30 gallons C. of P. = 166 pounds X 166 pounds 20 gallons p = 8.3g 5