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

Respuesta :

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.        

The total fuel needs for the journey is $18.50

Further Explanation

Given:

Average fuel = 8 miles/gallon

Fuel cost = 83 cents/gallon

In order to calculate the journey cost in fuel we need information about the distance between Oban and Stranraer. With doing a little research, we find out that the total distance between to city is approximately 178 miles.

First step

Calculate the fuel needed for the entire journey (x) =

[tex]\frac{Total distance}{x gallon} = \frac{average distance}{gallon}[/tex]

[tex]\frac{178}{x gallon} = \frac{ 8}{gallon}[/tex]

x gallon = [tex]\frac{178}{8}  = 22.25 gallon[/tex]

Total fuel needed for the entire journey is 22.25 gallon

Next step

Calculate the total cost for the journey

= Total fuel x Price/gallon

= 22.25 gallon x 83 cents = 1846.75 cents which is equal to $18.47 or $ 18.50 (to the nearest 5 cents)

Learn more

Total fuel for a journey brainly.com/question/2059692

Average speed brainly.com/question/2143602

Keywords: total distance, fuel needed for journey, calculate cost