The value of y varies directly with x. When y= 75,x= 1.5 What is the value of y when x is 2.25

answer y  =  337.5

Step-by-step explanation:

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

y  =  150x

To find  y  when  x = 2  , plug in  2  for  x .

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

y  =  150( 2.25 )

y  =  337.5

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x