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daser333 [38]
3 years ago
15

What's the unit rate for 1 1/4 gallons per 44 1/2 miles

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

  5/178 gal/mi

  35.6 mi/gal . . . . . take your pick

Step-by-step explanation:

As you have written the question, it is

  (1.25 gal)/(44.5 mi) = (5/178) gal/mi ≈ 0.0280899 gal/mi

___

Usually, mileage is expressed in miles per gallon in the US. The unit rate in those units is ...

  178/5 mi/gal = 35.6 mi/gal

_____

<em>Comment on mileage unit rates</em>

A "unit rate" is any rate that has 1 unit in the denominator. That is, the rate 5 gal/(178 mi) <u>is not</u> a unit rate, but (5/178) gal/mi <u>is</u> a units rate. They both use the same fraction, but the latter has 1 unit in the denominator and the fraction in the numerator: (5/178 gal)/mi.

Outside the US, mileage (energy use for transportation) is often expressed in terms of (amount of fuel)/(given distance). For example, the above mileage might be expressed as 1.745 gal/(100 km), or 6.607 L/(100 km). The "unit" in this scenario is 100 km.

In the US, the typical mileage specification is (distance)/(gallons). So, your question in terms of gallons per mile could mean that is the unit rate you're looking for (.028 gal/mi). Or it could mean we need to convert it to the typical US mileage specification. We cannot tell.

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