Question

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?

Answer 1

Pedro's car's ratio of kilometers to miles is calculated by dividing the kilometers he drives by the equivalent number of miles. The unit rate is around 1.588 kilometers per mile, illustrating how many kilometers Pedro travels for every mile.

Step-by-step explanation:

The question involves converting distances in different units and finding the unit rate between them. To find Pedro's car's ratio of kilometers to miles, we use the information given: 810 kilometers is equivalent to 510 miles. The unit rate is the ratio of the number of kilometers to the number of miles.

To calculate the unit rate of kilometers to miles, we simply divide the number of kilometers by the number of miles:

1. 810 kilometers ÷ 510 miles = 1.588235294117647 kilometers per mile.

This means for every 1 mile, Pedro drives approximately 1.588 kilometers.

Answer 2

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;

`d = (810 \ km)/(510 \ miles) \\\\d = (810 \ km \ * \ (1)/(810 \ km) )/(510 \ miles \ * (1)/(810 \ km) ) \\\\d = (1 \ km)/((510)/(810) \ miles ) \\\\d = (1 \ km)/((17)/(27) \ miles) \\\\d = 1 \ km : (17)/(27) \ miles\\\\d = 1 \ km : 0.63 \ miles`

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