To change the scenario of a cab ride costing $10 per mile from a proportional relationship to a non-proportional one, we can introduce a fixed starting fee in addition to the per-mile charge.
For example:
Scenario: The cab ride charges a flat fee of $5 for the first mile, and then it costs $10 for each additional mile.
In this scenario:
- For the first mile, the cost is $5 (a fixed charge).
- For the second mile, an additional charge of $10 will be added, making the total cost $15.
- For three miles, you would pay $25 ($5 for the first mile + $10 for the second mile + $10 for the third mile).
- The relationship between the distance traveled and the total cost is no longer directly proportional because the total cost does not increase by the same amount for each mile traveled due to the fixed starting fee.