Quadratic Relationship In Particulate Deposition
The data in the table show the deposition rate for particulates of different diameters. Which of the following statements best supports the conclusion that the deposition rate is quadratically related to particle diameter?
| Particle Diameter (µm) | Deposition Rate (mg/m^3) |
|---|---|
| 1 | 1.1 |
| 2 | 4.5 |
| 3 | 10.0 |
| 4 | 17.8 |
The measurements show a linear increase in deposition rates with particle size, contradicting a quadratic model.
The data suggest that deposition rates remain constant regardless of particle diameter, indicating no mathematical relationship.
The table data demonstrate that as particle diameter doubles, the deposition rate increases roughly four‐fold, consistent with a quadratic function.
The table indicates a logarithmic growth pattern, which would not support a quadratic dependence on particle size.
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