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The table below shows that the number of miles driven by Carlos is directly proportional to the number of...

The table below shows that the number of miles driven by Carlos is directly proportional to the number of gallons he used.
| Gallons Used | Miles Driven |
|--------------|--------------|
| 21 | 321.3 |
| 37 | 566.1 |
| 49 | 749.7 |
If m represents the number of miles driven for any number of gallons used, g, write a proportional equation for m in terms of g that matches the context.

Answer

To find the proportional equation, we need to determine the constant of proportionality, k, using the given data. The relationship is m = kg.

Using the first data point: m = 321.3, g = 21, we find k = 321.3 / 21 = 15.3.

Therefore, the proportional equation is m = 15.3g.

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