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Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he drives the equivalent distance of 510 mile. What is that ratio as a unit rate of kilometers to miles?

Sagot :

Answer:

The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

Step-by-step explanation:

Given;

distance measured by odometer in kilometer, = 810 km

distance measured by odometer in miles, = 510 miles

The  ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;

[tex]d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles[/tex]

Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.