a cab company charges $12 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 $4 per mile instead of $12
B. charge a flat rate of $20 and then $12 per mile
C. no changes are needed
D. charge $15 per mile instead of $12
The correct answer is B. charge a flat rate of $20 and then $12 per mile.
In a proportional situation, the rate stays constant regardless of the distance traveled. However, by charging a flat rate of $20 and then an additional $12 per mile, the company is implementing a non-proportional situation where the charges will vary depending on the distance traveled.
To make the situation non-proportional, the cab company would need to change their charges to something other than a constant rate per mile.
Among the provided options, the change that would make the situation non-proportional is:
B. Charge a flat rate of $20 and then $12 per mile.
By introducing a flat rate, the total cost is no longer directly proportional to the distance traveled.
To determine the change that would make the situation non-proportional, we need to understand what it means for two quantities to be proportional.
In a proportional situation, the ratio between two quantities remains constant. In this case, the quantities are the distance (in miles) and the cost (in dollars) of the cab ride to the airport.
Currently, the company is charging $12 per mile. This means that for every mile traveled, the cost increases by $12. If we were to change the charges, we would need to break the constant ratio between the distance and the cost.
Let's analyze the given options:
A. Charge $4 per mile instead of $12
If the company charges $4 per mile, the cost of the cab ride would decrease. This would make the situation non-proportional since the ratio between distance and cost would no longer be constant. This option would change the situation.
B. Charge a flat rate of $20 and then $12 per mile
By introducing a flat rate of $20, the cost would not solely depend on the distance traveled. This would break the constant ratio between distance and cost, making the situation non-proportional. This option would change the situation.
C. No changes are needed
If the company maintains the current charge of $12 per mile, then the situation would remain proportional. However, the question asks for a change, so this option is not applicable.
D. Charge $15 per mile instead of $12
This option would change the amount charged per mile but not the overall ratio between distance and cost. Since the ratio remains constant, this change would still keep the situation proportional.
Based on this analysis, the correct choice to make the situation non-proportional would be either A or B.