An unknown metal has been found and the following experimental results have been tabulated below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that express volume as a function of the mass. Round your answers to 3 decimal places grams Volume in ml 19 21.5 24 26.5 29 31.5 34 260.8 295.2 323 356.6 386.3 432.5 462.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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### Experimental Analysis of an Unknown Metal

An unknown metal has been discovered, and the results from the following experiment have been tabulated in the table below. The table lists the grams of the unknown metal and the corresponding volume in milliliters of water displacement. The objective is to find a linear model that expresses volume as a function of mass. 

Please round your answers to three decimal places.

| grams | Volume in ml |
|-------|--------------|
| 19    | 260.8        |
| 21.5  | 295.2        |
| 24    | 323          |
| 26.5  | 356.6        |
| 29    | 386.3        |
| 31.5  | 432.5        |
| 34    | 462.2        |

The linear model for volume (V) as a function of mass (x) can be represented as:

\[ \text{Volume} = \boxed{} x + \boxed{} \]

where \( x \) is the grams of the unknown metal.

*Note: Students are encouraged to use the tabulated data to calculate the constants for the linear equation using methods such as linear regression.*
Transcribed Image Text:### Experimental Analysis of an Unknown Metal An unknown metal has been discovered, and the results from the following experiment have been tabulated in the table below. The table lists the grams of the unknown metal and the corresponding volume in milliliters of water displacement. The objective is to find a linear model that expresses volume as a function of mass. Please round your answers to three decimal places. | grams | Volume in ml | |-------|--------------| | 19 | 260.8 | | 21.5 | 295.2 | | 24 | 323 | | 26.5 | 356.6 | | 29 | 386.3 | | 31.5 | 432.5 | | 34 | 462.2 | The linear model for volume (V) as a function of mass (x) can be represented as: \[ \text{Volume} = \boxed{} x + \boxed{} \] where \( x \) is the grams of the unknown metal. *Note: Students are encouraged to use the tabulated data to calculate the constants for the linear equation using methods such as linear regression.*
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