Question

Dimensional Analysis

Answer 1

Answer:

• $5.058 USD/gal
• $60.70 USD to fill the tank

Step-by-step explanation:

You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.

Cost per gallon

The conversion between liters and gallons is ...

  1 US gallon = 3.785411784 liters (exactly)

Then the cost conversion is ...

  $\dfrac{\ 1.31\text{ CAD}}{1\text{ L}}\times\dfrac{3.785411784\text{ L}}{1\text{ gal}}\times\dfrac{\ 1.02\text{ USD}}{\ 1.00\text{ CAD}}\approx\boxed{\ 5.058\text{ USD/gal}}$

The cost per gallon in terms of US dollars is about $5.06.

Cost per tank

The cost for 12 gallons will be ...

  (12 gal)×($5.058 /gal) ≈ $60.70

It will cost you $60.70 to fill your 12 gallon tank.

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Additional comment

The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.