Answer: you ride 18 miles for $10.00.
Explanation:
Given : The taxi fare in Monopolis City is $1.50 for the first 1 mile .
The additional mileage charged at the rate for each
mile = $0.25
Then , the additional mileage charged at the rate for each 1 mile = $ 0.25 x 2
= $ 0.5
Let x = Number of additional miles drove by taxi
Then , Total taxi fare = (Taxi fare for 1st mile) +(Fare per additional mile) x (Number of additional miles drove by taxi)
Total taxi fare= 1.50+ 0.5 x
If total fare is $10 , we get
![10=1.5+0.5x\\\\\Rightarrow\ 0.5x=10-1.5\\\\\Rightarrow\ 0.5 x=8.5\\\\\Rightarrow\ x=(8.5)/(0.5)=(85)/(5)=17](https://img.qammunity.org/2020/formulas/mathematics/high-school/8ssbu4mtznoa44gf3qtozo3y6gajyatg44.png)
i.e. Number of additional miles drove by taxi = 17
Total miles drove nby taxi = 17+1=18
Hence, you ride 18 miles for $10.00.