Newton's thermal equation

[mom2spoiled3]

I am not at all good at word problems. I am trying to help one of my children with their math work this weekend and this one is not clicking for me. can someone help? I would be very grateful, thanks.

In this function we will let y be the predicted temperature that your drink will be after it has been sitting in a room for x number of hours. We will let R be our room temperature and D will be the difference between the room’s temperature and the original temperature of the drink. In other words D=(original temp) – R, in that order. Finally k is the special constant for our thermos. Given these variables

Newton's thermal equation is y=De^-kx + R

question is...

Find the predicted temperature of the liquid after 1 hour. Given that the original temperature was 130 degrees, how many degrees did the temperature drop during the first hour? Find the predicted temperature of the liquid after 2 hours. How many degrees did the temperature drop during the second hour?

 

[srmichael]

I am not at all good at word problems. I am trying to help one of my children with their math work this weekend and this one is not clicking for me. can someone help? I would be very grateful, thanks.

In this function we will let y be the predicted temperature that your drink will be after it has been sitting in a room for x number of hours. We will let R be our room temperature and D will be the difference between the room’s temperature and the original temperature of the drink. In other words D=(original temp) – R, in that order. Finally k is the special constant for our thermos. Given these variables

Newton's thermal equation is y=De^-kx + R

question is...

Find the predicted temperature of the liquid after 1 hour. Given that the original temperature was 130 degrees, how many degrees did the temperature drop during the first hour? Find the predicted temperature of the liquid after 2 hours. How many degrees did the temperature drop during the second hour?

I think there may be some missing information. We need to solve for k first and we can't do it with the given info provided. And do we know the room temp?

 

[mom2spoiled3]

Thanks so much for helping me. The second part of the problem then says:
If the original temperature of the drink is 130 degrees Fahrenheit, what will the temperature be after an hour? What will the temperature be after 2 hours? How many degrees did the temperature drop during the second hour? we will let the room temperature be 82 degrees, and the special constant for our thermos will be 0.2231

will the problem then read...
y=48e^(-.2231x)+82

or am i completely confused? If this is correct do I then replace the x variable with 1 for the first hour? 130 for y?