Scientific Thinking Graphing -Determining the Mathematical Expression

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SUMMARY

The discussion focuses on transforming a curve-shaped graph derived from the equation P=(3.9 pa/m3)(1/V) into a straight-line graph for a homework assignment on "Scientific Thinking Graphing." The participant has successfully graphed the problem and identified the need to establish a mathematical expression that reflects the relationship between pressure (P) and volume (V). The key insight is that pressure is inversely proportional to volume, prompting further exploration of direct proportionality with other variables.

PREREQUISITES
  • Understanding of inverse and direct proportionality in physics
  • Familiarity with graphing techniques and data visualization
  • Basic knowledge of mathematical expressions and equations
  • Experience with data analysis and interpretation
NEXT STEPS
  • Research linearization techniques for graphing data
  • Learn about inverse relationships in physics and their graphical representations
  • Explore methods for determining direct proportionality in equations
  • Study the principles of curve fitting and regression analysis
USEFUL FOR

This discussion is beneficial for students in physics or mathematics, educators teaching graphing techniques, and anyone interested in understanding the relationships between variables in scientific data analysis.

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"Scientific Thinking Graphing" -Determining the Mathematical Expression

Homework Statement


Ok, so I recently got an assignment for "Scientific Thinking Graphing Practice". Basically, I need to take a data table that will produce a curve shaped graph and turn it into a straight lined graph.

Homework Equations


P=(3.9 pa/m3) (1/V)

The m3 is cubed

The Attempt at a Solution


I have tried the first problem and have looked at the others. I have managed to get the mathematical equation for my homework question as that is the relevant equation. I found a worksheet that is similar to mine but not exact. I have already graphed the problem and have a general idea of how I am supposed to get the problem.

Here is a worksheet that is similar to mine: https://docs.google.com/viewer?a=v&...TItYzBlNi00ZjkyLWFiY2QtYWIxYjRjZjhhZjJl&hl=en

I need help finding how to get the mathematical expression and how to make the data a straight line. I don't need answers, just explanations.
 
Last edited:
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For the first part I'd think that you need to propose a relationship on the basis of the physics, and see if your data fits that. The key for the second part is to see what kind of proportionality exists between the two variables. For example, your equation says that P is inversely proportional to V. What is it directly proportional to then?
 

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