Deena works at a customer service call center. She fields an average of 5 calls per hour. Employees are encouraged to field more than 200 calls per week. Deena has already fielded 80 calls this week.
How many more hours, x, does Deena need to work this week to reach the weekly goal of fielded calls if she continues to field an average of 5 calls per hour? Select the inequality that includes the fewest number of hours Deena can work this week and still reach the weekly goal.
Deena needs to field more than 200 calls per week. She has already fielded 80 calls this week, so she needs to field 200 - 80 = <<200-80=120>>120 more calls.
If Deena fields an average of 5 calls per hour, she needs to work x hours to field 120 more calls.
The fewest number of hours she can work is given by the inequality 5x ≥ 120.
This inequality can be simplified to x ≥ 120/5 = 24.
So, the fewest number of hours Deena can work this week and still reach the weekly goal is x ≥ 24. Answer: \boxed{ x \geq 24}.