Question

Suppose you're driving your car on a cold winter day (30°F outside) and the engine overheats (at about 230°F). When you park, the engine begins to cool down. The temperature T of the engine t minutes after you park satisfies the equation ln T − 30 200 = −0.14t. (a) Solve the equation for T. T = 30 + 200e^(-0.14t) (b) Use part (a) to find the temperature of the engine after 35 min (t = 35). (Round your answer to one decimal place.) T = 30 + 200e^(-0.14*35) °F

Name: suppose youre driving your car on a cold winter day 30f outside and the engine overheats at about 230f when you park the engine begins to cool down the temperature t of the engine t minutes 81712
Uploaded: 2020-08-31T15:57:24-08:00
Duration: 2 min 43 s
Channel: Sam Sohn
Description: suppose youre driving your car on a cold winter day 30f outside and the engine overheats at about 230f when you park the engine begins to cool down the temperature t of the engine t minutes 81712

          Suppose you're driving your car on a cold winter day (30°F outside) and the engine overheats (at about 230°F). When you park, the engine begins to cool down. The temperature T of the engine t minutes after you park satisfies the equation
ln
T − 30
200
 = −0.14t.
(a) Solve the equation for T.
T  = 30 + 200e^(-0.14t)
(b) Use part (a) to find the temperature of the engine after 35 min (t = 35). (Round your answer to one decimal place.)
T = 30 + 200e^(-0.14*35) °F

Added by Brandi M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Sam Sohn

08/31/2020

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Suppose you're driving your car on a cold winter day (30°F outside) and the engine overheats (at about 230°F). When you park, the engine begins to cool down. The temperature T of the engine t minutes after you park satisfies the equation ln T − 30 200 = −0.14t. (a) Solve the equation for T. T = 30 + 200e^(-0.14t) (b) Use part (a) to find the temperature of the engine after 35 min (t = 35). (Round your answer to one decimal place.) T = 30 + 200e^(-0.14*35) °F