A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 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?
 2 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

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.1plug in all the given information to solve for k T(t) = 325 T_0 = 350 T_r = 65 t = 3 \[325 = 65 +(35065)e^{3k}\]

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0a negative answer for k (.031), would be correct?

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0and for part b) would if look like this: T(t) = 65 + (35065)e^(60k) ?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.