1. [1 marks] The busy Mother pours herself a coffee into a paper cup before making...

  

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1. [1 marks] The busy Mother pours herself a coffee into a paper cup before making her way to the amusement park. The coffee temperature is 35°C when the cup is placed on the kitchen counter. The Mother needs to tend to her son and her coffee is forgotten. When the Mother finally returns to her coffee 35 minutes later, the temperature is now 21°C. a. What type of function best models the cooling of a hot liquid? (K/U) [3 marks] b. What is the mathematical model for this situation? (i.e. the equation) (TIPS) [3 marks] c. If the optimal temperature for drinking a hot liquid is 28°C, at what time would the mother have had to return in order to enjoy her cup of coffee? (APP) 1. [1 marks] The busy Mother pours herself a coffee into a paper cup before making her way to the amusement park. The coffee temperature is 35°C when the cup is placed on the kitchen counter. The Mother needs to tend to her son and her coffee is forgotten. When the Mother finally returns to her coffee 35 minutes later, the temperature is now 21°C. a. What type of function best models the cooling of a hot liquid? (K/U) [3 marks] b. What is the mathematical model for this situation? (i.e. the equation) (TIPS) [3 marks] c. If the optimal temperature for drinking a hot liquid is 28°C, at what time would the mother have had to return in order to enjoy her cup of coffee? (APP)