Problema Solution
At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.
Answer provided by our tutors
Revenue R varies directly with the number g of gallons means:
R = K*g, where K is constant
R = $44.50 when g = 10 gal
K*10 = 44.50 divide both sides by 10
K = 4.45
The equation for revenue is:
R = 4.45g
We need to find R when g = 15.5 gal:
R = 4.45*15.5
R = $68.975
The revenue is $68.975.