a can of soda at 80 F is placed in a refrigerator that maintains a constant temperature of 37 F the temperature T of the soda t minutes after it is placed in the refrigerator is given by

T(t)=37+43e^-0.058t
find temp to the nearest degree of the soda after 7 minutes

when to the nearest minute will the temp of the soda be 43 F

1 answer

T(7) = 37+43e^-0.058(7) = 65.65

43 = 37+43e^-0.058t
6/43 = .1395 = e^-0.058t
ln .1395 = -.058t
−1.9696 = -.058t
t = 33.96