29:07
Using the patterns of inverse variation, complete the following table if y is inversely proportional to the cube of x:
x
0.5
64
2
Y
16
a.
1
0.037
4
b.
2
C.
d.
8
Please select the best answer from the choices provided
A
B
С
D

2907 Using the patterns of inverse variation complete the following table if y is inversely proportional to the cube of x x 05 64 2 Y 16 a 1 0037 4 b 2 C d 8 Pl class=

Respuesta :

9514 1404 393

Answer:

  a.  1

Step-by-step explanation:

"y is inversely proportional to the cube of x" means ...

  y = k/x³

The value of k can be found from ...

  k = x³y

The second table entry lends itself to easy computation of k:

  k = 1³·8 = 8

Then the third table entry is ...

  y = 8/2³

  y = 1 . . . . matches choice A