Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

soccergal12

  • 3 years ago

It’s Amanda’s birthday and Shane is baking her a cake. He takes the cake out of the 350◦ F oven into the room with temperature of 65◦ F . The cooling of the cake is modeled by the following equation: T (t) = T_r + (T_0 − T_r )e^kt , where T (t) is the temperature of the cake t minutes after it has been taken out of the oven, Tr is the temperature of the cake’s present surroundings and T0 is the cake’s initial temperature. In 3 minutes, the cake cools off down to 325◦ F . (a) Write a model for the temperature of the cake. Find the constant k. (b) What is the temperature of the cake after 1 hour?

  • This Question is Closed
  1. dumbcow
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    plug in all the given information to solve for k T(t) = 325 T_0 = 350 T_r = 65 t = 3 \[325 = 65 +(350-65)e^{3k}\]

  2. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a negative answer for k (-.031), would be correct?

  3. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and for part b) would if look like this: T(t) = 65 + (350-65)e^(60k) ?

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy