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Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14
9
2
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km14, start fraction, 2, divided by, 9, end fraction, start text, space, k, m, end text taxi ride. The cost per kilometer is constant. As a simplified proper fraction

Respuesta :

The cost per kilometer for Emanuel's taxi ride is given as follows:

$9/4.

How to obtain the cost per kilometer?

To obtain the cost per kilometer of the tax ride, we apply the proportion, dividing the total cost by the distance of the taxi ride.

From the text given in this problem, the parameters are given as follows:

  • Total cost: $32.
  • Total distance: 14 and 2/9 kilometers = 14 + 2/9 kilometers = 14.22 kilometers. (conversion of mixed number to decimal).

Then the cost per kilometer for Emanuel's taxi ride is found applying the proportion as follows:

Cost per kilometer = 32/14.22 = 2.25.

We have that the fraction equivalent of .25 is given as follows:

1/4.

Thus the proper fraction that represents the cost is given as follows:

2 + 1/4 = 8/4 + 1/4 = $9/4.

More can be learned about proportions at https://brainly.com/question/24372153

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