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If an automobile gets 24.5 miles to the gallon and the cost of gasoline is $2.75 a gallon, how much will it cost to drive 975 km? (note: monetary values are often reported to the nearest cent.)

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meerkat18
In order to know how much will it cost to drive 975 km, we need first to know how many gallons it would take to drive 975 km. First, we need to convert kilometers to miles. 975 km would be equal to 605.84 miles (1 km = 0.62 miles). Since one gallon can be consumed up to 24.5 miles, we need to divide 605.84 miles by 24.5 miles to know how many gallons will be consumed travelling such distance. Dividing the two numbers, we can get 24.73 gallons. We know that one-gallon costs $2.75. Therefore, it would cost $68.01 ($2.75 x 24.73 gallons) to drive 975 kilometers.
chilljain33

The correct statement is that it will cost $68 to travel 975 kilometers for an automobile where the cost of gasoline is $2.75 per gallon.

The calculation of the cost of driving such a distance is done by conversion of the distance into miles and multiplying such distance by $2.75.

Cost of Driving

To calculate the cost, the distance of 975 kilometers is converted into miles as 605.837 miles. Now the division of mileage of automobile will be calculated as,

[tex]\rm Gasoline\ Required= \dfrac {Distance\ to\ be\ Travelled}{Mileage}\\\\\rm Gasoline\ Required= \dfrac {605.837}{24.5}\\\\\rm Gasoline\ Required= 24.72\ gallons[/tex]

Now calculating the gasoline cost for such quantity of gasoline calculated,

[tex]\rm Cost\ of\ Driving= Gallons\ x\ Cost\ per\ Gallon\\\\\rm Cost\ of\ Driving= 24.72\ x\ 2.75\\\\\rm Cost\ of\ Driving=\$68.0[/tex]

So, it is computed that the cost of driving is $68.0.

Hence, the correct statement is that it will cost $68 to travel 975 kilometers for an automobile where the cost of gasoline is $2.75 per gallon.

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