1. **State the problem:**
We need to find the per-mile charge of Juan's taxicab company and compare it to Camila's per-mile charge, which is $2.30 per mile.
2. **Identify given information:**
- Juan's company charges a pickup fee of $4 (from point (0,4)).
- After 10 miles, the total charge is $18 (from point (10,18)).
- Camila charges a pickup fee of $1.50 and $2.30 per mile.
3. **Find Juan's per-mile charge:**
Use the slope formula for the line representing Juan's charges:
$$\text{slope} = \frac{\text{change in cost}}{\text{change in miles}} = \frac{18 - 4}{10 - 0} = \frac{14}{10} = 1.4$$
4. **Interpretation:**
Juan charges $1.40 per mile plus a $4 pickup fee.
5. **Compare per-mile charges:**
Camila charges $2.30 per mile, Juan charges $1.40 per mile.
6. **Calculate the difference:**
$$2.30 - 1.40 = 0.90$$
7. **Conclusion:**
Camila charges $0.90 more per mile than Juan, not $0.20.
**Final answer:** Camila's company charges $0.90 more per mile than Juan's.
Taxicab Charges 683Ec4
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