A cab company charges $8 per mile for a lift to the airport.
What change would the company make to their charges to make this a non proportional situation?
Charge $12 per mile instead of $8
Charge $4 per mile instead of $8
No changes are needed
Charge a flat rate of $10 and then $8 per mile
To make the situation non-proportional, the cab company could charge a flat rate of $10 and then $8 per mile.
To make this a non-proportional situation, the cab company can make the following change to their charges:
Charge a flat rate of $10 and then $8 per mile.
In a non-proportional situation, the relationship between the cost and the distance traveled is not constant. By introducing a flat rate of $10, the company is adding a fixed cost that is not directly proportional to the distance traveled.
To determine which change would make the situation non-proportional, we need to understand what it means for a situation to be proportional. In a proportional situation, the ratio between two variables remains constant.
In this case, the variables are the distance traveled and the cost of the ride. Initially, the cab company charges $8 per mile, which means the ratio of cost to distance is constant.
If the company were to charge $12 per mile instead of $8, the ratio of cost to distance would change, making it a non-proportional situation. This is because the company would be charging more for each mile traveled.
Similarly, if the company were to charge $4 per mile instead of $8, the ratio of cost to distance would also change, making it a non-proportional situation. Here, the company would be charging less for each mile traveled.
However, if the company made no changes to their charges, the situation would remain proportional since the ratio of cost to distance would stay the same.
Lastly, if the company charged a flat rate of $10 and then $8 per mile, the situation would also be non-proportional. This is because the initial flat rate does not vary with distance, creating a different ratio for different distances.
So, the correct answer is either to charge $12 per mile instead of $8 or to charge $4 per mile instead of $8, both of which would make the situation non-proportional.