Subjects algebra

Taxicab Rate 0B8689

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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.