Final answer:
Brianne will need to work approximately 16 extra hours per month to save an additional $2,000 in 16 months at a rate of $8 per hour.
Step-by-step explanation:
To calculate how many extra hours Brianne will need to work per month to save an additional $2,000 in 16 months, we first find the total hours required by dividing the total amount she wants to save by her hourly wage:
Total hours needed = Total savings required / Hourly wage
Total hours needed = $2,000 / $8 per hour = 250 hours
Next, we divide this by the number of months to find the hours needed per month:
Hours per month = Total hours needed / Number of months
Hours per month = 250 hours / 16 months = 15.625 hours
Since Brianne can't work a fraction of an hour, she would need to work approximately 16 hours extra a month to achieve her goal of saving $2,000 in 16 months.