The given situation involves a rate of change that you may assume to be constant. Write a statement that describes how one variable varies with respect to another, give the rate of change numerically (with units), and use the rate of change rule to answer the questions.A gas station owner finds that for every penny increase in the price of gasoline, she sells 1657 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 6 cents per gallon? If she decreases the price by 2 cents per gallon?

Question

A. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is -1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is -9942 gallons. If the price is decreased by 2 cents, gas sales increase by 3314 gallons.
B. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is 1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is 7456.5 gallons. If the price is decreased by 2 cents, gas sales increase by 2485.5 gallons.
C. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is -1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is -12,427.5 gallons. If the price is decreased by 2 cents, gas sales increase by -4142.5 gallons.
D. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is 1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is 4971 gallons. If the price is decreased by 2 cents, gas sales increase by -1657 gallons.

Answer 1

Answer: A