Answer:
p = 131.25
Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
[tex]k = \frac{21}{80} [/tex]
So the formula for the variation is
[tex]p = \frac{21}{80} T[/tex]
when
T = 500
Substitute it into the above formula
That's
[tex]p = \frac{21}{80} \times 500[/tex]
Simplify
The final answer is
p = 131.25
Hope this helps you
