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Martin earns an hourly wage of $15 plus a $65 bonus. If Martin's total paycheck shows he received $590, how many hours did he work? Write an equation to model the problem and solve.

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Final answer:

To calculate the number of hours Martin worked, set up the equation 15h + 65 = 590. Solve for 'h' by subtracting 65 from both sides and then dividing by 15, yielding 35 hours.

Step-by-step explanation:

The student is asking to determine the number of hours Martin worked based on his hourly wage and his total paycheck. First, let's set up an equation to model the problem. Martin earns $15 per hour and receives a $65 bonus. If his total paycheck is $590, we can represent this with the equation 15h + 65 = 590, where 'h' represents the number of hours worked.

Solving this equation, we first subtract 65 from both sides to isolate the variable term on one side: 15h = 590 - 65, which simplifies to 15h = 525. To find 'h', we then divide both sides by 15, which gives us h = 35. Therefore, Martin worked 35 hours.

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