Respuesta :
Answer:
When the volume is 130 cu in., the pressure is 24.9 psi.
Explanation:
Given that the air pressure (p) is inversely proportional to the volume(v) of the air.
The equation of proportionalty is :
[tex]\begin{gathered} p=\frac{k}{v} \\ k=constant\;of\;proportionality \end{gathered}[/tex]When p=27 psi, v=120 cu in.
[tex]\begin{gathered} 27=\frac{k}{120} \\ k=27\times120 \\ k=3240 \end{gathered}[/tex]The equation connecting p and v is:
[tex]p=\frac{3240}{v}[/tex]When the volume, v = 130 cu in.
[tex]\begin{gathered} p=\frac{3240}{130} \\ =24.9231 \\ \approx24.9\;psi \end{gathered}[/tex]When the volume is 130 cu in., the pressure is approximately 24.9 psi (rounded to the nearest tenth).
