in which table does y vary directly with x?

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Table A

For x=1, y=3

Find the value of k

----->

For x=2, y=9

Find the value of k

----->

the values of k are different

therefore

The table A not represent a direct variation

Table B

For x=1, y=-5

Find the value of k

----->

For x=2, y=5

Find the value of k

----->

the values of k are different

therefore

The table B not represent a direct variation

Table C

For x=1, y=-18

Find the value of k

----->

For x=2, y=-9

Find the value of k

----->

the values of k are different

therefore

The table A not represent a direct variation

Table D

For x=1, y=4

Find the value of k

----->

For x=2, y=8

Find the value of k

----->

For x=3, y=12

Find the value of k

----->

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

The linear equation is

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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step-by-step explanation: