Question

In a direct variation, y = 48 when x = 4. Write a direct variation equation that shows the relationshipbetween x and y.y=

Answer 1

y
=
3
x
Step-by-step 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
y
=
12
when
x
=
4
y
=
k
x
⇒
k
=
y
x
=
12
4
=
3
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
3
x
2
2
∣
∣
∣
−−−−−−−−−−−