1. **State the problem:** We need to compare the miles per gallon (mpg) of Nachelle's car and Zachary's car to determine who gets more miles per gallon. 2. **Given data:** - Nachelle uses 13 gallons to drive 196.3 miles. - Zachary's miles per gallon can be calculated from the table: | Gallons (x) | Miles (y) | |-------------|-----------| | 3 | 87 | | 5 | 145 | | 7 | 203 | | 9 | 261 | 3. **Formula:** Miles per gallon is calculated as $$\text{mpg} = \frac{\text{miles}}{\text{gallons}}$$ 4. **Calculate Nachelle's mpg:** $$\text{mpg}_{N} = \frac{196.3}{13} \approx 15.1$$ miles per gallon. 5. **Calculate Zachary's mpg for each data point:** - For 3 gallons: $$\frac{87}{3} = 29$$ mpg - For 5 gallons: $$\frac{145}{5} = 29$$ mpg - For 7 gallons: $$\frac{203}{7} \approx 29$$ mpg - For 9 gallons: $$\frac{261}{9} \approx 29$$ mpg All values are consistent, so Zachary's car gets about 29 miles per gallon. 6. **Compare:** - Nachelle's mpg: 15.1 - Zachary's mpg: 29 Since $$29 > 15.1$$, Zachary's car gets more miles per gallon. **Final statement:** Nachelle's car gets **fewer** miles per gallon **than** Zachary's car.