1. **State the problem:** Calculate the gross pay for the week given the hourly wage and work hours. 2. **Identify the hourly wage:** $14$ per hour. 3. **Calculate hours worked each day:** - Monday: From 5:00 PM to 9:00 PM is $9 - 5 = 4$ hours. - Friday: From 5:00 PM to 10:00 PM is $10 - 5 = 5$ hours. - Saturday: From 10:00 AM to 6:00 PM is $6 - 10 = 8$ hours. 4. **Sum total hours:** $$4 + 5 + 8 = 17 \text{ hours}$$ 5. **Calculate gross pay:** $$\text{Gross pay} = \text{Total hours} \times \text{Hourly wage} = 17 \times 14 = 238$$ 6. **Answer:** The gross pay for the week is $238$.