Final answer:
The minimum hourly wage a clothing designer needs to earn to cover living expenses of $5,000 per month is $31.25 per hour, based on working 40 hours a week for four weeks.
Step-by-step explanation:
To calculate the minimum hourly wage a clothing designer needs to earn to cover living expenses of $5,000 per month, we have to take into account the total number of working hours in a month. If the designer plans to work for 40 hours a week, with four weeks per month, the total number of hours worked in a month would be 40 hours/week x 4 weeks/month = 160 hours/month.
To find the minimum hourly wage, we can divide the monthly expenses by the total number of working hours. So, $5,000/month รท 160 hours/month = $31.25 per hour.