Question

Use inverse variation equation to fill the table.

Answer 1

The correct answers to the question above includes:

a=.1
b=20.775
c=0.02

Answer 2

Answer:

Inverse Variation states that a relationship between two variables x and y, represent an inverse variation if it can be expressed in the form of:

i.e $y \propto \frac{1}{x}$  or $y = \frac{k}{x}$ ;  where k is the constant of variation.

In the given problem :

$P=\frac{8.31}{v}$ where v is the volume(liters) and P is the pressure.

We have the value of the constant K

i.e  K = 8.31

so, Pv = 8.31                  ......[1]

From the given table;

if v = 83.1 liters and P= a ;

Substitute in [1] to solve for a;

$83.1a = 8.31$

Simplify:

a = 0.1 kilopascals

Similarly,

if v = b liters and P = 0.4 kilopascals

Substitute in [1] to solve for b;

$0.4b = 8.31$

Simplify:

b = 20.775 liters

and

if v = 415.5 liters and P =c ;

Substitute in [1] to solve for c;

$415.5c = 8.31$

Simplify:

c = 0.02 kilopascals .

Therefore, value of:

a = 0.1

b = 20.775

c = 0.02