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# math

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the value of y varies directly with x. when y=75,x=1/2 what is they value of y when x=2 1/4

Guest Oct 27, 2017

#1
+5198
+1

y varies directly with x,  so  y = kx   , where  k  is some constant.

y  =  kx        When  y = 75 ,  x = 1/2 .   So

75  =  k(1/2)       Multiply both sides by  2 .

150  =  k

So...

y  =  150x

To find  y  when  x = 2$$\frac{1}{4}$$  , plug in  2$$\frac14$$  for  x .

y  =  150( 2$$\frac14$$ )        1/4 = 0.25 ,  so  2 + 1/4 = 2.25

y  =  150( 2.25 )

y  =  337.5

hectictar  Oct 27, 2017
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#1
+5198
+1

y varies directly with x,  so  y = kx   , where  k  is some constant.

y  =  kx        When  y = 75 ,  x = 1/2 .   So

75  =  k(1/2)       Multiply both sides by  2 .

150  =  k

So...

y  =  150x

To find  y  when  x = 2$$\frac{1}{4}$$  , plug in  2$$\frac14$$  for  x .

y  =  150( 2$$\frac14$$ )        1/4 = 0.25 ,  so  2 + 1/4 = 2.25

y  =  150( 2.25 )

y  =  337.5

hectictar  Oct 27, 2017

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