At a corner gas station the revenue R varies directly with t

At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $45.60 when the number of gallons sold is 12, find a linear equation that relate revenue R to the number g of gallons of gasoline Then find the revenue R when the number of gallons of gasoline sold is 9.5. Write the linear equation that relates R to g.

Solution

Let Revenue (R) is directly proportional to number of gallons (G) of gasoline. Therefore, we can write it as:

R = k*G where k is proportionality constant.

Given R = 45.6 when G = 12 so K = R/G = 45.6/ 12 = 3.8.

Now G = 9.5, Then R would be :

R = k*G = 3.8*9.5 = 36.1 dollar