Acold drink is poured out at 52°f. after 2 minutes of sitting in a 72°f room, its temperature has risen to 55°f. find an equation for the drink's temperature at any time t. (t) =

The model for the temperature of the drink can be written as

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

If we rearrange and integrate

We know that at time 0, the temperature of the drink was 52°F. Then we have:

We also know that at t=2, T=55°F

The model for the temperature of the drink can be written as

answer: i would say b

step-by-step explanation:

with the way the question is worded, i believe b is the answer

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