Need Math help exponents/logarithms word problem

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Homework Help Overview

The problem involves determining how long a gallon of milk will last at a specific temperature based on given data at two other temperatures. The subject area includes concepts related to exponents and logarithms, particularly in the context of modeling data.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss fitting the data to a function, with one suggesting a logarithmic approach and another proposing a linear equation based on the two provided data points. There is confusion regarding the application of the logarithmic model.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's requirements and exploring different modeling approaches. Some guidance has been offered regarding potential methods for fitting the data, but no consensus has been reached on the correct approach.

Contextual Notes

There is a noted lack of complete problem description, which may affect the interpretation and approach to the solution. Participants are also reminded of the need to show effort in problem-solving as per forum rules.

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Homework Statement


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


Homework Equations





The Attempt at a Solution

 
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What have you tried? You need to show some effort at a problem before anyone can help you. Them's the rules...
 
Log (H) = 192 - Log (T)^x

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

I'm confused and stuck?
 
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.
 

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