One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a each model. linear function Table A x f(x) Table B x 24 33 42 1 g(x) 15 24 quadratic function Select-v --Select-- 2 3 39 60 87

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

**Table A**

| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| f(x) | 15 | 24 | 33 | 42 | 51 |

**Table B**

| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| g(x) | 15 | 24 | 39 | 60 | 87 |

**Linear function**: 
- Choose from the dropdown.

**Quadratic function**: 
- Choose from the dropdown.

In the tables, each row corresponds to the values of x and their corresponding function values, f(x) or g(x), across different scenarios. The tables help to analyze which function type (linear or quadratic) best fits the data presented.
Transcribed Image Text:One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model. **Table A** | x | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | f(x) | 15 | 24 | 33 | 42 | 51 | **Table B** | x | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | g(x) | 15 | 24 | 39 | 60 | 87 | **Linear function**: - Choose from the dropdown. **Quadratic function**: - Choose from the dropdown. In the tables, each row corresponds to the values of x and their corresponding function values, f(x) or g(x), across different scenarios. The tables help to analyze which function type (linear or quadratic) best fits the data presented.
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