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 $39.00 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 14.5.

Write the linear equation that relates R to g. (simplify)

R=

The revenue is $ when the number of gallons of gasoline sold is 14.5 (Round to the nearest cent as needed.)

Solution

The relation between Revenue R and number of gallons g can be expressed as:

R = kg where k is a constant

Use point ( 10, $ 39.00) to solve for k.

39 = k*10 ----> k= 3.9

R = 3.9g

Find revenue R when number of gallons sold is 14.5

R = 3.9*14.5 = $56.55