1. **Problem:** How many widgets can the factory produce in 5 days? Given data: Widgets produced each day increase by 800 per day: 800, 1600, 2400, 3200, 4000. Since the factory produces 4000 widgets on day 5, the answer is directly given. **Answer:** The factory produces 4000 widgets in 5 days. 2. **Problem:** How many days would it take for the factory to produce 6400 widgets? The factory produces widgets at a rate of 800 widgets per day (since 800 widgets on day 1, 1600 on day 2, etc.). Use the formula for total widgets produced after $d$ days: $$\text{Widgets} = 800 \times d$$ Set widgets to 6400: $$6400 = 800 \times d$$ Solve for $d$: $$d = \frac{6400}{800} = 8$$ **Answer:** It takes 8 days to produce 6400 widgets. 3. **Problem:** What is the unit rate? Unit rate is widgets produced per day. From the data, the factory produces 800 widgets per day. **Answer:** The unit rate is 800 widgets per day. 4. **Problem:** If Alex's car has 3 gallons of gas, how far can he travel on the highway? Given: 28 miles per gallon. Distance = miles per gallon $\times$ gallons $$\text{Distance} = 28 \times 3 = 84$$ **Answer:** Alex can travel 84 miles. 5. **Problem:** If Alex travels 140 miles, how many gallons will he use on the highway? Given: 28 miles per gallon. Gallons used = distance $\div$ miles per gallon $$\text{Gallons} = \frac{140}{28} = 5$$ **Answer:** Alex will use 5 gallons. 7. **Problem:** What is the unit rate for highway mileage? Unit rate is miles per gallon. Given: 28 miles per gallon. **Answer:** The unit rate is 28 miles per gallon. 8. **Problem:** How far can Alex travel on 3 gallons in the city? Given: 23 miles per gallon. Distance = 23 $\times$ 3 = 69 **Answer:** Alex can travel 69 miles. 9. **Problem:** If Alex drives 345 miles in the city, how many gallons will he use? Gallons = distance $\div$ miles per gallon $$\text{Gallons} = \frac{345}{23} = 15$$ **Answer:** Alex will use 15 gallons. 10. **Problem:** What is the unit rate for city mileage? Given: 23 miles per gallon. **Answer:** The unit rate is 23 miles per gallon.