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?
A. Charge a flat rate of $10 and then $8 per mile
B. Charge $4 per mile instead of $8
C. No changes are needed
D. Charge $12 per mile instead of $8
A. Charge a flat rate of $10 and then $8 per mile
To make the situation non-proportional, the company would need to change their charges in a way that the cost per mile is not a constant rate.
Option A, charging a flat rate of $10 and then $8 per mile, would make the situation non-proportional since the initial charge is different from the per-mile charge.
Option B, reducing the charge to $4 per mile instead of $8, would create a proportional situation where the cost per mile remains constant. Therefore, Option B does not fulfill the requirement.
Option D, increasing the charge to $12 per mile instead of $8, would also create a proportional situation where the cost per mile remains constant. Therefore, Option D does not fulfill the requirement.
Therefore, the correct answer is A. Charge a flat rate of $10 and then $8 per mile.
To identify a non-proportional situation in this context, we need to determine if the cost per mile changes as the number of miles increases. In a proportional situation, the cost per mile remains constant. Let's analyze the options provided:
A. Charge a flat rate of $10 and then $8 per mile: This is still a proportional situation since the cost per mile remains constant at $8.
B. Charge $4 per mile instead of $8: This would indeed make it a non-proportional situation because the cost per mile has changed. As the number of miles increases, the cost incurred for each mile will decrease.
C. No changes are needed: This implies that the current situation is already non-proportional. However, since the current situation is described as charging $8 per mile, we can conclude that a change needs to be made for it to become non-proportional.
D. Charge $12 per mile instead of $8: This would still be a proportional situation because the cost per mile remains constant at $12.
Therefore, the correct answer is option B. Charge $4 per mile instead of $8.