Taxi Rate per Mile

.. For $10, how many mile can you drive? It is the aim of this exercise to give the student the possibility to resolve a multi-level relationship issue that can be solved in a variety of ways.

You can do this by creating a spreadsheet that will help visualize the taxi tariff patterns for different travel ranges and, with a little perseverance, lead to a working arithmetical problem. You can also determine a uniform exchange rate (dollars per mile) and thus determine the mileage directly without a chart.

Since the ratios in this connection are not whole numbers, these solutions are based on the seventh instead of the sixth number. Journey expenses can be expressed by an arithmetic term that can be used to determine the exact 10 $ journey time. For more disorderly numbers, however, the use of algebra has an edge.

It could be used to help the student recognize the value of arithmetic in algebra. Firstly, they could resolve the issue as it is, with the teachers promoting many different avenues and taking the necessary amount of patience to have pupils show the different ways in which they have tackled the issue. Unless a student uses an algebraic beginning, they should be encourage to find one and debate it as a whole group.

A similar issue could then be given with more disorderly numbers, where the algraic answer offers a simpler, more effective way to solve the issue. Adopted by issue #10 on the American Mathematics Competition (AMC) 8 Test 2011. Replies to the multiple-choice solutions to the issue had the following distribution:

Out of the 153,485 participating pupils, 72,648 or 47% were in class 8, 50,433 or 33% in class 7, and the rest were less than class 7. Ten is 0.5 and 2.8 for 3.3 in all. We' ll make a chart here to see how far we can go with a $10 cab.

We' ve quoted a price of $2 for 0 mile, which indicates the peak that is added to trips of any mileage. Half the first mile is also included, as it is calculated at a $2.40 extra price. Thereafter, each half mile adds $1 (5 x 20 Cent per 0.1 mile).

We can see from this that the response must be between 3.0 and 3.5 mile. With $10 it will be possible to drive 3.3 mile in Gotham City. Please be aware that these charts are not ratios: due to the tip and the different rate for the first half mile, the relationship between the route covered and the taxi fare is not the same.

So we can go 3.3 mile in a cab with $10.