Economics is not my major. but what I understand is, the more elasticity demand curve becomes, the more sensitive the change of price would be, from a laity's viewpoint. I am not sure it is correct. after all, I am amateur, but you are professional
I guess the reverse correlation between demand quality and corresponding price is obvious and evident, this sentence would merely mean somewhat sensitivity of such change.
对于直线型需求线(a linear demand curve),各点导数相同且均为负值,则需求线各点需求弹性由各点上价格与需求量的比唯一决定。价格越高,需求量越少,则比值P/Q越大,从而需求弹性绝对值越大,即越有弹性。
关于你的问题: “...which implies that..." 不知道“which”指的是什么上文,但从作者引用直线型需求线(a linear demand curve)为例子,可以认为“the elasticity of demand is inversely related to price” 指的是价格越高弹性值越负(越小),即他可能在解释需求弹性是负值,这和供给弹性相反。