Temperature Decrease: 4min to 32°F

[Johny 5]

Homework Statement

A container of hot 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...

 

[HallsofIvy]

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]

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.

umm I'm still confused...

 

[Johny 5]

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...

i didn't write the whole problem sorry...