I was riding my bike to school and I got a leak in my tire. The air pressure in the tire leak was at 85 pounds per square inch (psi).

Assume the leak started at t=o minutes and P represents the tire's air pressure as a function of time t. one mathematical model for P is that the rate at which the tire's pressure changes in time is proportional to the difference between the tire's pressure and surrounding air pressure in Seattle (which is assumed at constant 15 psi). write down an IVP that models P. It should contain a positive constant of proportionality, k.

Solve you model. Your solution

Question

I was riding my bike to school and I got a leak in my tire. The air pressure in the tire leak was at 85 pounds per square inch (psi).

Assume the leak started at t=o minutes and P represents the tire's air pressure as a function of time t. one mathematical model for P is that the rate at which the tire's pressure changes in time is proportional to the difference between the tire's pressure and surrounding air pressure in Seattle (which is assumed at constant 15 psi). write down an IVP that models P. It should contain a positive constant of proportionality, k.

Solve you model. Your solution