Respuesta :
Answer:
1. y=18000/x
2. 450 psi
3. It decreases by 7.5% psi
The function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi is [tex]\rm y = \dfrac{18000}{x}[/tex].
The volume of the gas is if the pressure is increased to 40 P is 450 psi.
Given that,
The volume of the gas is inversely proportional to its pressure.
At a pressure of 30 pounds per square inch (psi), gas has a volume of .
We have to determine,
Which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi?
What would the volume of the gas be if the pressure is increased to 40 P?
According to the question,
Let, the pressure in psi be x,
And the volume of the gas in cubic inches be y,
The volume of the gas is inversely proportional to its pressure.
[tex]\rm k = yx[/tex]
1. At a pressure of 30 pounds per square inch (psi), gas has a volume of [tex]\rm 600 \ inches^3[/tex].
[tex]\rm k = yx\\\\k = 600 \times 30\\\\k = 18000[/tex]
Substitute the value of k in the equation is,
[tex]\rm k = yx\\\\y = \dfrac{k}{x}\\\\y = \dfrac{18000}{x}[/tex]
Therefore, The function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi is [tex]\rm y = \dfrac{18000}{x}[/tex].
2. The volume of the gas be if the pressure is increased to 40 P is,
[tex]\rm y = \dfrac{18000}{x}\\\\ y = \dfrac{18000}{40} \\\\ y = 450 \ psi[/tex]
Therefore, The volume of the gas is if the pressure is increased to 40 P is 450 psi.
For more details refer to the link given below.
https://brainly.com/question/890837
