Answer:
Y = 90 when x = 27
Step-by-step explanation:
we are told the Y varies directly as the cube root of x
Thus
Y
=
k
3
√
x
For some
k
∈
Q
We are also told that
Y
=
30
when
x
=
1
∴
30
=
k
3
√
1
→
k
=
30
Hence:
Y
=
30
3
√
27
when
x
=
27
Y
=
30
×
3
=
90
