Question

Given that y varies directly as x and inversely as 2m-1 and that y =5 when x=7and m=4, calculate of variation k​

Answer 1

Inverse variation can be represented as:
y
=
k
x

k
=
y
.
x

where
k
is the constant
x
=
7
and
y
=
10

so ,
k
=
7
×
10
=
70

Now, we have the value of
k
and
x
=
10
, substituting these in the variation to find
y

k
=
y
.
x

y
=
k
x

y
=
70
10
=
7

on observing the values
when
x
=
7
,
y
=
10
, and
when
x
=
10
,
y
=
3

as the value of
x
decreases
y
increases and vice verse as they vary inversely.