Determine whether y varies directly with x. If so, find the constant of variation k.?
Determine whether ( y ) varies directly with ( x ). If so, find the constant of variation ( k ).
Given the equation:
[ 3y = -7x - 18 ]
Please find the value of ( y ) for a specific value of ( x ), assuming that ( y ) varies directly with ( x ).
If ( y = 2.52 ) when ( x = 8.4 ), what is the value of ( y ) when ( x = 2.7 )?
A. 9
B. -9
C. 0.81
D. -0.81
2 Answers
3y = –7x – 18
y does not vary directly with x
————————————————–
y varies directly with x.
y = kx , where k is any constant
y=2.52 when x=8.4
2.52 = k(8.4)
k = 2.52/8.4 =0.3
y=0.3x
when x=2.7
y=(0.3)(2.7) = 0.81
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