Question

In which situation did the car achieve the greatest efficiency? (Assume the cars all have the same mass.)(1 point)
Responses

a car that traveled 80 kilometers on 5.0 liters of gas
a car that traveled 80 kilometers on 5.0 liters of gas

a car that traveled 70 kilometers on 5.0 liters of gas
a car that traveled 70 kilometers on 5.0 liters of gas

a car that traveled 50 kilometers on 4.0 liters of gas
a car that traveled 50 kilometers on 4.0 liters of gas

a car that traveled 90 kilometers on 6.0 liters of gas

1 answer

To determine which car achieved the greatest fuel efficiency, we need to calculate the fuel efficiency (in kilometers per liter) for each car. The formula for fuel efficiency is:

\[ \text{Fuel Efficiency} = \frac{\text{Distance Traveled (km)}}{\text{Liters of Gas Used}} \]

Let's calculate the efficiency for each car:

  1. Car 1: Traveled 80 km on 5.0 liters \[ \text{Efficiency} = \frac{80 \text{ km}}{5.0 \text{ L}} = 16 \text{ km/L} \]

  2. Car 2: Traveled 70 km on 5.0 liters \[ \text{Efficiency} = \frac{70 \text{ km}}{5.0 \text{ L}} = 14 \text{ km/L} \]

  3. Car 3: Traveled 50 km on 4.0 liters \[ \text{Efficiency} = \frac{50 \text{ km}}{4.0 \text{ L}} = 12.5 \text{ km/L} \]

  4. Car 4: Traveled 90 km on 6.0 liters \[ \text{Efficiency} = \frac{90 \text{ km}}{6.0 \text{ L}} = 15 \text{ km/L} \]

Now we can summarize the efficiencies:

  • Car 1: 16 km/L
  • Car 2: 14 km/L
  • Car 3: 12.5 km/L
  • Car 4: 15 km/L

The car that achieved the greatest efficiency is Car 1, which traveled 80 kilometers on 5.0 liters of gas, resulting in 16 km/L.