Question

A cup of hot coffee is placed on a counter and allowed to cool. The temperature in degrees Celsius) of the coffee minutes after being placed on the counter is given by the accompanying function. Complete parts (a) through (d) Tt) - 20.50 000 a) What was the original temperature of the hot colle? How can the original temperature of the hot coffee be found? Select the correct choice below and fill in the answer box to complete your choice O A. Sche-28 + 50 e 600 for t. The original temperature of the hot coffee was 78). Type anger of deomal rounded to one decimal place as needed) b) What is the coffee's temperature after 10 minutes? ! vo 90 CE

Answer 1

-0.023t T(t) = 28 + 50 é a) Evaluate T(0) -0.023x0 T(0) 28 + 50 e 78 . The original temperature of hot coffee was 78 oc b) Evaluate T 0.023 x 19 T(19) = 28 + 50 é 60.29857157 i. The coffee's temperature after 19 min is 60.3°C TCE) 40 ) -0.023t 40 28 + 50 e 40-28 e-0.0230 6 25 0.24 50 in both sides: Taking en (0.24) -0.023t = min -0.023t st) - 28 62. 1 t = 62.05 min d) lim T(t) lim (28 + 50e7 too loption B