Q:

Driving from oban to stranraer a driver averages 8 miles per gallon of fuel. if fuel costs 83 cents a gallon how much will be the journey cost in fuel(to the nearest 5 cents

Accepted Solution

A:
Answer:$18.56 Step-by-step explanation:    Since we know that distance between Oban and Stranraer is 178.9 miles.Let us find the number of gallons of fuel used during the journey by dividing total distance traveled by distance traveled per gallon of fuel.[tex]\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8\frac{\text{miles}}{\text{gallon}}}[/tex][tex]\text{Total number of gallons of fuel used during the journey}=\frac{178.9\text{ miles}}{8}\times \frac{\text{gallon}}{\text{miles}}[/tex][tex]\text{Total number of gallons of fuel used during the journey}=22.3625\text{gallon}[/tex]Now let us find the total cost of fuel for the journey by multiplying number of gallons of fuel used by cost of per gallon fuel ($0.83). [tex]\text{Total cost in fuel during the journey}=22.3625\times\$0.83[/tex][tex]\text{Total cost in fuel during the journey}=\$18.560875\approx \$18.56[/tex]Therefore, the journey will cost $18.56 in fuel.