A vehicle requires 12 of a liter of gasoline to cover a distance of 7.5 kilometers (km). What distance can be covered with 2 liters?(1 point)

Responses

48 km
48 km

60 km
60 km

15 km
15 km

30 km

1 answer

To determine the distance that can be covered with 2 liters of gasoline, we first need to find the distance that can be covered with 1 liter of gasoline.

Given that 12 liters cover 7.5 kilometers, we can find the distance per liter:

\[ \text{Distance per liter} = \frac{7.5 \text{ km}}{12 \text{ liters}} \approx 0.625 \text{ km/liter} \]

Now, we can calculate the distance that can be covered with 2 liters:

\[ \text{Distance with 2 liters} = 0.625 \text{ km/liter} \times 2 \text{ liters} = 1.25 \text{ km} \]

Now we can double-check and recalculate. First, we determine how many kilometers can be traveled per liter:

1 liter covers \( \frac{7.5 \text{ km}}{12} = 0.625 \) km. Multiply this by 2 liters:

\[ 2 \text{ liters} \times 0.625 \text{ km/liter} = 1.25 \text{ km} \]

So, 2 liters can cover approximately 1.25 kilometers, but none of the response options indicate this answer, which suggests either a misunderstanding of the question or incorrect options.

Let's check with a simpler approach: If 12 liters get you 7.5 km, then how far can you go per liter:

\[ \frac{7.5 \text{ km}}{12 \text{ liters}} = 0.625 \text{ km per liter} \]

Thus, for 2 liters, the distance covered is:

\[ 0.625 \text{ km per liter} \times 2 \text{ liters} = 1.25 \text{ km} \]

It looks like none of the provided answers are appropriate based on the calculations. If these were not possibilities due to misinterpretation or inappropriate choices given the scenario, then appear to use additional context from the problem statement itself.