An enclosed gas exerts a pressure p on the walls of a container. this pressure is directly proportional to the temperature t of the gas, measured in kelvin. if the pressure is 7 lb per square inch when the temperature is 420ºk, find the constant of variation.

Keywords:

Variation constant, directly proportional, temperature, pressure

For this case, we must find the constant of variation, knowing that the pressure is directly proportional to the temperature, knowing the values of pressure and temperature. So, we have:

Where "a" is the constant of variation or constant of proportionality

If

Substituting:

Clearing to:

, if we divide by 7 the numerator and denominator we have:

Thus, the constant of variation is given by:

The variation constant is given by:

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

step-by-step explanation: