Need Math help exponents/logarithms word problem

[larryq37]

Homework Statement

A gallon of milk will last 192 hours at 0 degrees celcius, 42 hours at 22 degrees celcius, how long will it last at 30 degrees celcius?

Homework Equations

The Attempt at a Solution

 

[Mark44]

What have you tried? You need to show some effort at a problem before anyone can help you. Them's the rules...

 

[larryq37]

Log (H) = 192 - Log (T)^x

Fits for the first data set, but doesn't fit the problem?

I'm confused and stuck?

 

[Mark44]

You have not given us the entire problem description. Apparently you are supposed to fit this data to some kind of function. Since you are given two points-- (0, 192) and (22, 42), one possibility is to fit this data to a linear equation.

If you are supposed to do this some other way, please specify what that way is.