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Warm Food in the Canteen




In the canteen food is packed into heat reservoir until the students get it.
The temperature of the food could be defined by the an exponential
function f


                                              (-kt/100)
                            f(t) 30     60e
 (t is the time t after decant in min. and f(t) is the temperature in °C for time
t, k is a parameter that has to be determined in part b).
a) What about the temperature the food is packed into the heat reservoir?
b) After 15 min. the temperature is between 75°C and 80°C. What about
the range for the parameter k?
c) When does the food have less than 60° (chose k=1,5)?

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Canteenfood1

  • 1. Warm Food in the Canteen In the canteen food is packed into heat reservoir until the students get it. The temperature of the food could be defined by the an exponential function f (-kt/100) f(t) 30 60e (t is the time t after decant in min. and f(t) is the temperature in °C for time t, k is a parameter that has to be determined in part b). a) What about the temperature the food is packed into the heat reservoir? b) After 15 min. the temperature is between 75°C and 80°C. What about the range for the parameter k? c) When does the food have less than 60° (chose k=1,5)?