A taxi is charging you $1.50 per 500 meters. If you know your destination is 7.1 miles away, how much will the taxi cost you? There are 1,609 meters in a mile. Round your answer to the nearest cent.

First, we should make everything the same value, so convert the 7.1 miles into meters. (11,423.9 meters). Since we are trying to find a value per 500 meters, divide the 11,423.9 meters by 500 to get 22.8478. Multiply this number by $1.50 to get the value 34.2717 and since we are rounding to the cent, that would be $34.27

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ColinJacobus ColinJacobus · Answer 2 · 2019-09-30T19:09:55+02:00

Answer: The required cost of taxi is $34.3.

Step-by-step explanation: Given that a taxi is charging $1.50 per 500 meters. Our destination is 7.1 miles away and there are 1,609 meters in a mile.

We have to find the cost of taxi.

We have

1 mile = 1609 meters.

So, 7.1 miles = 7.1 × 1609 = 11423.9 meters.

We will be using the UNITARY method to solve the remaining problem.

We have

Cost of taxi for 500 meters = $1.50.

So, the cost of taxi for 1 meter will be

[tex]\$\dfrac{1.50}{500}.[/tex]

Therefore, the cost of taxi for 11423.9 meters is given by

[tex]\dfrac{1.50}{500}\times11423.9=34.2717.[/tex]

Rounding off to the nearest tenth, we get that the cost of taxi is $34.3.

Thus, the required cost of taxi is $34.3.