1. **State the problem:** We need to find which type of shirt the factory produces at a faster rate and how many of those shirts can be produced in 5 hours. 2. **Calculate the production rate for button-down shirts:** The factory produces 70 button-down shirts in 2 hours. The rate is $$\text{Rate}_{button-down} = \frac{70}{2} = 35 \text{ shirts per hour}$$ 3. **Calculate the production rate for T-shirts:** From the table, the factory produces 150 T-shirts in 3 hours. The rate is $$\text{Rate}_{T-shirts} = \frac{150}{3} = 50 \text{ shirts per hour}$$ 4. **Compare the rates:** Since $$50 > 35$$, the factory produces T-shirts at a faster rate. 5. **Calculate how many T-shirts can be produced in 5 hours:** Using the T-shirt rate: $$\text{Shirts in 5 hours} = 50 \times 5 = 250$$ **Final answer:** The factory produces T-shirts faster and can produce 250 T-shirts in 5 hours.