Miss martinez works 38 hours for an hourly rate of & 4.15. in addition she works 6 hours of overtime at time and half. what is her total gross pay?

When we say "overtime at time and a half", we can either multiply the pay by 1.5 and use the given hours, or we can multiply the hours by 1.5 and use the given pay. It might be easier to do the latter.

... ((38 h) + 1.5 * (6 h)) * ($15/h) = (47 h) * ($15/h) = $705

Miss Martinez's gross pay will be $705.