1. **State the problem:** We need to compare the gas mileage (miles per gallon) of Nachelle's car and Zachary's car.
2. **Calculate Nachelle's miles per gallon (mpg):**
Nachelle uses 13 gallons to drive 196.3 miles.
Miles per gallon is calculated by the formula:
$$\text{mpg} = \frac{\text{miles driven}}{\text{gallons used}}$$
So,
$$\text{Nachelle's mpg} = \frac{196.3}{13} \approx 15.1$$
3. **Calculate Zachary's miles per gallon (mpg):**
From the table, Zachary's miles per gallon can be found by dividing miles by gallons for each data point.
For example, at 3 gallons:
$$\frac{87}{3} = 29$$
At 5 gallons:
$$\frac{145}{5} = 29$$
At 7 gallons:
$$\frac{203}{7} \approx 29$$
At 9 gallons:
$$\frac{261}{9} = 29$$
All values are consistent, so Zachary's car gets 29 miles per gallon.
4. **Compare the two:**
Nachelle's car: approximately 15.1 mpg
Zachary's car: 29 mpg
Since 15.1 is less than 29, Nachelle's car gets fewer miles per gallon than Zachary's car.
**Final answer:**
Nachelle's car gets fewer miles per gallon than Zachary's car.
Miles Per Gallon 759Bc0
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.