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)
(a) 48 km
(b) 60 km
(c) 15 km
(d) 30 km
To find out how many kilometers can be covered with 2 liters of gasoline, we can set up a proportion:
12 liters of gasoline --> 7.5 km
2 liters of gasoline --> x km
We can cross multiply and solve for x:
12x = 2 * 7.5
12x = 15
x = 15/12
x = 1.25 km
So, with 2 liters of gasoline, a distance of 1.25 km can be covered.
None of the answer choices provided matches this result, so we need to recalculate.
If 12 liters of gasoline cover 7.5 km, then 2 liters of gasoline would cover:
2 liters of gasoline --> 7.5 km
1 liter of gasoline --> 7.5 km / 2 = 3.75 km
So, with 2 liters of gasoline, a distance of 3.75 km can be covered.
The correct answer is (c) 15 km.