Adrian's lawn mower runs on a fuel combination of oil and gasoline. The table shows the amount of of oil, l, Adrian mixed with the amount of gasoline, g, when he filled the fuel tank.
Amount of
Oil, l
(in liters) Amount of
Gasoline, g
(in liters)
0.05 1.6
0.10 3.2
0.15 4.8
0.2 6.4
0.25 8
Which equation represents the proportional relationship between the amounts of oil and gasoline used to make the fuel for the lawnmower?
A. g = 32l
B. g = 1 + 3.2
C. l = g + 3.2
D. l = 32g
The answer is D. l = 32g.
This can be determined by looking at the given data and observing that as the amount of oil increases by 0.05 liters, the amount of gasoline increases by 1.6 liters. This ratio of oil to gasoline is constant and is equal to 32 (1.6 divided by 0.05). Therefore, the equation that represents the proportional relationship is l = 32g.