Monday, August 20, 2012

College Algebra, Chapter 5, 5.4, Section 5.4, Problem 84

Michael is driving a car in a cold winter day with a temperature of 20 degree F and the engine of the car will overheat at about 220 degree F and if the car is parked the engine will cool down. Suppose that the equation ln(T20200)=0.11t where T is the temperature of the engine and t is the minutes after you park.

a.) Solve the equation for T.

b.) Determine the temperature of the engine after 20 min (t = 20) by using your answer in part(a).



a.)


ln(T20200)=0.11teln(T20200)=e0.11tT20200=e0.11tT20=200e0.11tT=20+200e0.11t



b.) if t=20 mins, then


T=20+200e0.11(20)T=42.16F

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