A straight line, downward-sloping demand curve implies that, as price falls, the elasticity of demand

increases
decreases
remains the same
is zero

The correct answer is A.

The elasticity of demand is a measure of how responsive consumers are to changes in price. A straight line, downward-sloping demand curve implies that, as price falls, the elasticity of demand increases. This is because, at lower prices, consumers are more willing to buy a good, and a small change in price will lead to a larger change in quantity demanded.

Option B is incorrect because, as price falls, the elasticity of demand increases, not decreases.

Option C is incorrect because, as price falls, the elasticity of demand changes, not remains the same.

Option D is incorrect because, as price falls, the elasticity of demand is not zero.