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10.
50+(2x)=20+(5x)
-20 -20
-2x -2x
30=3x
divide both sides by 3
10=x
4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.
You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.
For example:
1/7 = 7/49
or
4/28 = 8/56
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct