Remaining Time 4 hours 10 minutes 12 seconds Question Comple

Remaining Time: 4 hours, 10 minutes, 12 seconds. Question Completion Status: Suppose y(t)-90e2+21 reach 100 bacteria? (Note: Answers are expressed in terms of the natural logarithm) O In(100)- In(21) mins 2 In(90) In(79) mins 100 O 179 In (-) mins 2 90 O In79)mins 2 In(90) O None of the above Save All Answers

Solution

y(t) = 90e^2t+21

y(t)=100

100=90e^2t+21

Subtracting 21 to both sides

79=90e^2t

79/90=e^2t

Taking ln to both sides

ln(79/90)=2t

t=(1/2) ln(79/90) mins

Correct option is third