The word "depended" is correct and can be used in written English. You can use it when describing a situation of relying on someone or something else for help or support. For example, "The success of the business project depended on the cooperation of all the team members.".
There was a time in Britain when radicals believed that progress depended on following the continental model.
The ability of footballers to play depended on which zone they found themselves in.
A close relative of María's trafficed cocaine independently, she said, but still depended on the cartel to keep order in the state.
To put it another way, in America and Great Britain, the neoliberal turn depended on huge industrial confrontations.
We depended on Social Security benefits to survive".
We should not be too surprised that Seneca was unable to imagine an alternative to a society that owned slaves and depended on vast income inequality.
Before the era of laser theodolites and mobile computing, he depended on endless manual measurements that started respectively from the door of the Old Kirk at Bo'ness and Blair Castle, Culross – both known Ordinance Survey benchmarks.
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MA of Applied Linguistic, Maquarie University, Australia