The modem is wired to the Internet via the cable company's coaxial cable, the telephone company's DSL phone line, Verizon's FiOS network or a satellite modem. The router is wired to the modem.
Most ISPs charge between $10 and $15 monthly for equipment -- you should be able to see the fee on your ISP's broadband ...
It’s desirable to have your Internet connection up at all times ... whipping up a backup power solution to keep their Verizon ONT fiber modem up and running in such events.