Problema Solution
1.The table below shows corresponding values of the variables x and y, where y varies directly as x.
X 2 5 B
y 12 a 48
Calculate the values of a and b
Answer provided by our tutors
When x= 2 y= 12 and y varies directly as x.
This means y=kx and using (x,y)>(2,12)
k=> 12=2k therefore k=6
Now:
x=5 and y= a
but y=6x
therefore a=6(5)
a=30
and
x=b y=48
but y=kx
therefore 48=6b
b=8
Answers: a=30 b=8