Find an equation of variation where y varies directly as x and y=500 when x=50.
Accepted Solution
A:
Answer:y
=
8Step-by-step explanation:Explanation:
the initial statement is y
∝
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
x
to find k, use the given condition for x and y
y
=
10
when x
=
5
y
=
k
x
⇒
k
=
y
x
=
10
5
=
2
the equation is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
2
x
2
2
∣
∣
∣
−−−−−−−−−−−
x
=
4
→
y
=
2
×
4
=
8