4. Brianne wants to save an additional \( \$ 2,000 \) in the next 16 months. Assuming she brings home \( \$ 8 \) an hour, how many extra hours a month will she need to work to achieve this goal?

To determine how many extra hours Brianne needs to work each month to save an additional \$2,000 in 16 months, follow these steps: 1. **Calculate the Total Extra Savings Needed Per Month:** \[ \text{Total Extra Savings} = \$2,000 \quad \text{over} \quad 16 \text{ months} \] \[ \text{Monthly Savings Needed} = \frac{\$2,000}{16} = \$125 \text{ per month} \] 2. **Determine the Number of Extra Hours Required Each Month:** Brianne earns \$8 per hour. To find out how many hours she needs to work to earn \$125: \[ \text{Extra Hours Needed} = \frac{\$125}{\$8/\text{hour}} = 15.625 \text{ hours} \] Since she can't work a fraction of an hour, she would need to round up to the nearest whole hour: \[ \text{Extra Hours Needed} = 16 \text{ hours per month} \] **Conclusion:** Brianne needs to work an additional **16 hours each month** to save \$2,000 in 16 months.