Final answer:
To find the cost per kilometer for Emanuel's taxi ride, one must convert the mixed number to an improper fraction and then divide the total cost by the converted distance. After calculating, it turns out the cost per kilometer is $2.25.
Step-by-step explanation:
The student's question is: Emanuel was charged $32 for a 14 2/9 kilometer taxi ride. What was the cost per kilometer?
To solve the mathematical problem completely, we first need to convert the mixed number into an improper fraction to make the calculation easier. The mixed number 14 2/9 is equal to 128/9 kilometers when converted. To find the cost per kilometer, we divide the total cost by the total distance. The equation for this is:
Cost per kilometer = Total cost / Total distance
Inserting the known values:
Cost per kilometer = $32 / (128/9 km)
To perform the division, we multiply by the reciprocal of 128/9, which is 9/128:
Cost per kilometer = $32 * (9/128)
Now we calculate the cost per kilometer:
Cost per kilometer = ($32 * 9) / 128
Cost per kilometer = $288 / 128
Cost per kilometer = $2.25
Therefore, the cost per kilometer for Emanuel's taxi ride was $2.25.