The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?

V = 160 cm³ when P = 40 kg/cm²

Step-by-step explanation:

V = k / P

Where,

V = volume

P = pressure

k = constant of proportionality

The volume of a gas is 200 cm3 under pressure of 32 kg/cm2

V = k / P

200 = k / 32

Cross product

200 × 32 = k

6,400 = k

k = 6,400

What will be its volume under pressure of 40 kg/cm2?

V = k / P

= 6,400 / 40

= 160

V = 160 cm³

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is