Question

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?

Answer 1

The equation representing the proportional relationship between the amounts of oil and gasoline for Adrian's lawn mower is g = 32l, where 'l' is the amount of oil and 'g' is the amount of gasoline, both measured in liters.

Step-by-step explanation:

To determine the equation that represents the proportional relationship between the amounts of oil and gasoline used to make the fuel for the lawnmower, we can use the values given in the table provided by the student. In the table, as the amount of gasoline increases, the amount of oil increases proportionally. We can calculate the constant of proportionality (k) by dividing the amount of gasoline by the amount of oil for any of the given pairs.

The first pair, 0.05 liters of oil and 1.6 liters of gasoline, gives us a ratio of 1.6 liters gasoline / 0.05 liters oil = 32. Now we can write the equation representing the proportional relationship as:

g = 32l,

where l is the amount of oil in liters, and g is the amount of gasoline in liters.