Chicken is eaten at a temp of 100 degrees F Its taken off th

Chicken is eaten at a temp. of 100 degrees F. It\'s taken off the grill at 145 degrees F. It cools at a rate of 3.5 percent per min.

Figure out the exponential growth/decay formula for this problem.

Solution

T = Toe^(-kt) exponential decay formula

where To is the temp at which chicken is taken off the grill

k= rate of temp decay with time

k = 0.035

So, T(t) = 145e^(-0.035t)

Time taken to reach 100 deg

100 = 145e^(-0.035*t)

taking ln on both sides:

ln(100/145) = -0.035*t

t = 10.61 minutes