Question

which of the following describes a reaction with a slow rate of reaction and a large k value?
very quickly moves to an equilibrium ratio of all products
slowly moves to an equilibrium ratio of a few products and lots of reactants
very quickly moves to an equilibrium ratio of a few products and lots of reactants
slowly moves to an equilibrium ratio of a lot of products and a few reactants

Explanation:

The rate of a reaction indicates how fast it proceeds, and here it's slow. The equilibrium constant $K$ is the ratio of product - concentrations to reactant - concentrations at equilibrium. A large $K$ value means that at equilibrium, there are more products and fewer reactants. Since the rate is slow, it will slowly reach this equilibrium state with a lot of products and a few reactants.

Answer:

Slowly moves to an equilibrium ratio of a lot of products and a few reactants