1. **State the problem:** We have Aubree's Taxicab Company charges for different miles and total costs, and Bo's company charges given by the equation $y=2.6x+2.5$. We want to find how much Aubree's company charges per mile compared to Bo's.
2. **Identify Aubree's rate per mile:** From the table, calculate the rate per mile by finding the difference in cost divided by the difference in miles.
Calculate the rate between 2 and 4 miles:
$$\frac{13.50 - 7.50}{4 - 2} = \frac{6}{2} = 3$$
Check between 4 and 6 miles:
$$\frac{19.50 - 13.50}{6 - 4} = \frac{6}{2} = 3$$
So Aubree charges $3$ per mile.
3. **Identify Bo's rate per mile:** From the equation $y=2.6x+2.5$, the coefficient of $x$ is $2.6$, which is Bo's rate per mile.
4. **Compare the rates:** Aubree charges $3$ per mile, Bo charges $2.6$ per mile.
Calculate the difference:
$$3 - 2.6 = 0.4$$
5. **Conclusion:** Aubree's company charges $0.4$ more per mile than Bo's.
**Final answer:** Aubree's company charges $0.4$ more per mile than Bo's.
Taxicab Rate 0B8689
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.