Asked by Anonymous
A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven.
if the potato is 60F after 2 minutes, what is the value of k? Explain.
When will the potato reach 150F? Explain.
Thanks :D
A potato is put into an oven that has been heated to 350F. Its temperature as a function of time is given by T(t) = a(1 - e-kt) + b. The potato was 50F when it was first put into the oven.
Answers
Answered by
Steve
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
So, just solve for k in T(2) = 60
Then use that k to solve for t in T(t) = 150
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