Barrelracing
  • Barrelracing
suppose y varies directly with x. write a direct variation equation the relates x and y. then find the value of y when x =16 y=5 when x=2
Mathematics
chestercat
  • chestercat
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rishavraj
  • rishavraj
For direct variation y = kx k is the propotionality constany
Barrelracing
  • Barrelracing
jim_thompson5910
  • jim_thompson5910
y = k*x y = k*2 ... replace x with 2 5 = k*2 ... replace y with 5 solve for k to get k = _________ (fill in the blank)

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rishavraj
  • rishavraj
After getting k ...plug the value of k and x in the equation and get y
Barrelracing
  • Barrelracing
y=40
jim_thompson5910
  • jim_thompson5910
you should have found that k = 2.5 y = 2.5x when x = 16, y = 2.5*16 = 40 so you have the correct y value
Barrelracing
  • Barrelracing
how do I find the direct variation that related x and y?
jim_thompson5910
  • jim_thompson5910
what do you mean?
Barrelracing
  • Barrelracing
it says write a direct variation equation that relates x and y. this is still the same problem.
jim_thompson5910
  • jim_thompson5910
so it just wants the equation with x and y in it
jim_thompson5910
  • jim_thompson5910
the k will be replaced with the numeric value you found
Barrelracing
  • Barrelracing
so y=40x?
jim_thompson5910
  • jim_thompson5910
So you can either say \[\Large y = \frac{5}{2}x\] or \[\Large y = 2.5x\]
jim_thompson5910
  • jim_thompson5910
I started with y = kx then replaced k with 5/2 or 2.5
Barrelracing
  • Barrelracing
ohh ok I get it now thank you
jim_thompson5910
  • jim_thompson5910
np

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