1.At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $34.80 hen the number of gallons sold is 8,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 5.5. Write the linear equation that relates R to g.

2. Suppose that the demand D for candy at a theater is inversely related to the price p. (a) When the price of candy is $3.50per bag, the theater sells 136 ags of candy. Express the demand for candy in terms of its price. (b) Determine the number of bags of candy that will be sold if the price is raised to $4.25 a bag. (a) Write the equation that relates D to p.

3. The kinetic energy K of a moving object varies jointly with its mass m and the square of the velocity v. If an object weighing 29

kilograms and moving with a velocity of 10 meters per second has a kinetic energy of 1450 Joules, find its kinetic energy when the velocity is 16 meters per second.

4. The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30-year mortgage is $6.31 for every $1000 borrowed, find a linear equation that relates the monthly payment p to the amount borrowed B for a mortgage with the same terms. Then find the monthly payment p when the amount borrowed is $165,000.

What is the general formula describing the variation? Use k for the constant of proportionality.