SEATTLE — Washington voters decided the fate of several high-profile initiatives Tuesday, supporting a measure that would raise the statewide minimum wage, but defeating an initiative to impose the nation’s first direct carbon tax.

Initiative 1433 will raise the hourly wage by roughly $4 over three years, to $13.50. The measure also requires employers to provide paid sick leave — at least one hour for every 40 worked — that could be used to care for family members or as “safe leave” for those who miss work because of domestic violence.

The state’s current minimum wage is $9.47 an hour.

Supporters of I-1433 said giving low-wage workers hundreds in extra monthly pay will boost the state’s economy. Opponents of the measure argued that raising the wage by nearly half could cost jobs and force businesses to close.

Supporters said hundreds of thousands of Washington workers and families will get a raise, and more than 1 million workers will earn paid sick and safe leave.

“Initiative 1433 was based on a simple but radical notion — that the success of our economy is only as strong as the success of the hardworking men and women who drive it,” said Carlo Caldirola-Davis, campaign manager for Raise Up Washington and the Initiative 1433 campaign. “When voters filled in their ballots, they were clear — in Washington state, we want an economy that works for everyone, not just those at the top.”