SOLUTION: After an oven is turned on, its temperature T, is represented by the equation T = 420 - 350 (3.2)^-.1m , where m represents the number of minutes after the oven is turned on and

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Question 440172: After an oven is turned on, its temperature T, is represented by the equation
T = 420 - 350 (3.2)^-.1m , where m represents the number of minutes after the oven is turned on and T represents the temperature of the oven in degrees Fahrenheit. How many minutes does the oven take to reach a temperature of 320F? Round your answer to the nearest minute.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

T = 420 - 350 (3.2)^-.1m  |where m represents the number of minutes after the oven is turned on 

and T represents the temperature of the oven in degrees Fahrenheit.

T = 420 - 350 (3.2)^-.1m 

 (T-420)/-350 = 3.2^.1m

 log[(T-420)/-350]/log(3.2) = -.1m

 T = 320

 log[(-100)/-350]/log(3.2) = -.1m



 log .2857/log(3.2) = -.544/.5 = -.1m

                   -1.08 = -.1m

                    m = 10.8 min, time it takes to reach a temperature of 320F