A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven.

Question

if the potato is 60F after 2 minutes, what is the value of k? Explain.

When will the potato reach 150F? Explain.

Thanks :D

A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven.

Answer 1

T(t) = 350 + (350-50)e^-kt

So, just solve for k in T(2) = 60
Then use that k to solve for t in T(t) = 150