Question

Paul wants to figure out the fuel consumption of his new SUV in the city. He made

sure the tank was close to empty and then he filled it up. The odometer read 5,600
when he filled it up and read 6,096 when he was empty again. He has a 75 L tank.
The cost of fuel is $.97 per L.

a. What is Paul's estimated fuel consumption for his SUV in L/100 km?

b. How much does it cost Paul to fill his tank at the listed gas price?

c. Paul usually drives at least 350 km per week. How much would this cost
him? (you will need to do a ratio)

Answer 1

a. 15.12 L / 100 Km

b. $72.75

c. $51.34

Explanation:

Proportions

Some quantities are assumed to be proportional to others. For example, the fuel consumption of a vehicle is said to be proportional to the distance traveled. The cost of the fuel is proportional to the liters used.

We have the following data: The odometer read 5,600 km when the tank was empty and read 6,096 km when he was empty again. It means a full tank of fuel is enough to travel a distance of 6,096 - 5,600 = 496 Km. Knowing the capacity of the tank is 75 L, we can estimate the following calculations

. We'll compute the estimated or average fuel consumption of the SUV in L/100 km. We only need to divide 75 L / 496 km = 0.1512096 L/km, multiplying by 100:

Answer: 0,1512096*100 = 15.12097 L/100 Km

b. The price of the fuel is $0.97 per liter. Each tank has 75 liters, so the cost to fill the tank is 0.97*75= $72.75

c. If Paul drives at least 350 Km per week, he needs 0.1512096*350= 52.92 Liters of fuel. The weekly cost will be 52.92*0.97=$51.34