Answer:
Both cars(American and European) must travel 8,060 kilo metres each during their lifetime for the total cost(purchase cost + fuel equivalent) to be equivalent
Explanation:
With regards to the above, the cost equation for both cars will be equated together.
Furthermore, we will convert gallons into litres while also converting miles into kilometers.
Since 1 gallon has 3.785 litres; 1 mile also has 1.609 kilo metre, hence milage of the first car in kilo metre per litre would be ;
Milage American made = [ 28 miles × 1.609 ] / 3.785
= 11.90 kilo meter per litres.
Cost of Gas per litre = $3 per gallon / 3.785
= 0.79 per litre
Gas cost per kilo metre(American made) = 0.79 per litre / 11.90
= 0.066 per km
Gas cost per kilo metre(European made) = 0.79 per litre / 19.0
= 0.042 per km
We can sum up the equation of first car which is American made( Purchase price + Fuel cost)
We can make a be the number of kilo metres where total cost for both cars would be equal.
Total cost = 317.2 + 0.066a
Also, the total cost equation - purchase price + fuel cost of European car is represented as;
Total cost = 510.64 + 0.042a
317.2 + 0.066a = 510.64 + 0.042a
Collect like terms
0.066a - 0.042a = 510.64 - 317.2
0.024a = 193.44
a = 8,060 kilo metres
Therefore, both cars(American and European) must travel each 8,060 kilo metres in their life time for the total costs( purchase cost + fuel cost) to be equivalent.
