Which power of state legislatures is being described here

in short, that extraordinarily broad authority is the power to safeguard the welfare of the people of the state, and it is the basis for much of what state legislatures do.

a. apportionment power
b. constituent power
c. police power
d. statutory power

Based on the given passage above, the power of state legislatures that is being described above is the POLICE POWER. The answer would be option C. Police power is the capacity of the states to regulate behavior and enforce order within their territory for the betterment of the health, safety, morals, and general welfare of their inhabitants. Hope this helps.