The problem involves a container of hot liquid cooling from an initial temperature of 180 degrees Fahrenheit to a final temperature of 32 degrees Fahrenheit, with a noted temperature of 64 degrees Fahrenheit after 4 minutes. The context suggests a focus on temperature change over time.
The discussion is ongoing, with participants exploring the use of a linear model to interpret the temperature data. There is a recognition of confusion regarding the approach, indicating a need for further clarification.
There are variations in the problem statements provided by participants, including differences in the context of the cooling environment, which may affect the assumptions being made.
HallsofIvy said:Since you are given two data points: (0, 180) and (4, 64), I suspect you are intended to try a linear model. Find A and B such that T = At+ B (T is the temperature in degrees, t is the time in minutes) is satisfied by t=0, T= 180 and t= 4, T= 64. Then set T= 32 and solve for t.
Johny 5 said:Homework Statement
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 15 degrese F. the initial temperature of the liquid is 180 degrees F. After 4 minutes, the liquid's temperature is 64 degrees F. How much longer will take its temperature to decrease to 32 degrees F? round to three decimal places
Homework Equations
The Attempt at a Solution
I have no clue where to start with this problem...