For two quantities, x and y, an
increase in x causes an increase
in y as well. Similarly, a decrease
in x cause a decrease in y. Uses
keywords like “directly
proportional” or “varies directly”
“A varies directly as B”.
A = kB
“A varies directly as B”. If A
is 12 when B is 3, what is
the constant variation?
k = 4 A = 4B
“A varies directly as B”. If A
is 12 when B is 3, find A
when B is 10.
k = 4 A = 40
“X varies directly as Y”. If X
is 10 when Y is 2, find the
X when y = 4
k = 5 X = 20
“O is directly proportional
as P”. If O is 40 when P is
4, find O when P is 6.
k = 10 O = 60
“D varies directly as E”. If D
is 30 when E is 2, find D
when E is 20
k = 15 D = 300

LESSON Direct Variation MATHEMATICS GRAEDE 9

  • 2.
    For two quantities,x and y, an increase in x causes an increase in y as well. Similarly, a decrease in x cause a decrease in y. Uses keywords like “directly proportional” or “varies directly”
  • 3.
    “A varies directlyas B”. A = kB
  • 4.
    “A varies directlyas B”. If A is 12 when B is 3, what is the constant variation? k = 4 A = 4B
  • 5.
    “A varies directlyas B”. If A is 12 when B is 3, find A when B is 10. k = 4 A = 40
  • 6.
    “X varies directlyas Y”. If X is 10 when Y is 2, find the X when y = 4 k = 5 X = 20
  • 7.
    “O is directlyproportional as P”. If O is 40 when P is 4, find O when P is 6. k = 10 O = 60
  • 8.
    “D varies directlyas E”. If D is 30 when E is 2, find D when E is 20 k = 15 D = 300