The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380 f?

Step-by-step explanation:

If y is directly proportional to x, then the formula for that is a linear one:

y = kx, where k is the constant of proportionality.  In our situation, if the pressure is directly proportional to the temp, then our formula is

P = kT.  We need to find that value of k.  Plug in what we have:

6 = k(440) so

k = .01363636 or as an equivalent fraction,

Now that have that value of k, we can use it in the formula again, this time with a different value for T to solve for P.

so

P = 5.181818 or as an equivalent fraction,

1

step-by-step explanation:

it's the only multiple of both and the least