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What is the constant of proportionality in the equation
y
=
7
x
y=7 x
y
=
7
x
?
\newline
constant of proportionality
=
=
=
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Math Problems
Algebra 2
Partial sums of geometric series
Full solution
Q.
What is the constant of proportionality in the equation
y
=
7
x
y=7 x
y
=
7
x
?
\newline
constant of proportionality
=
=
=
Identify Equation:
Identify the equation that relates
y
y
y
and
x
x
x
. The given equation is
y
=
7
x
y = 7x
y
=
7
x
.
Constant of Proportionality:
Recognize that in a proportional relationship of the form
y
=
k
x
y = kx
y
=
k
x
,
k
k
k
is the constant of proportionality.
Compare with Form:
Compare the given equation
y
=
7
x
y = 7x
y
=
7
x
with the proportional relationship form
y
=
k
x
y = kx
y
=
k
x
to find the value of
k
k
k
.
Determine Value of
k
k
k
:
Determine that the constant of proportionality (
k
k
k
) is the coefficient of
x
x
x
in the equation
y
=
7
x
y = 7x
y
=
7
x
, which is
7
7
7
.
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