Answer: you ride 18 miles for $10.00.
Step-by-step 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 [tex]\dfrac{1}{2}[/tex] 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
[tex]10=1.5+0.5x\\\\\Rightarrow\ 0.5x=10-1.5\\\\\Rightarrow\ 0.5 x=8.5\\\\\Rightarrow\ x=\dfrac{8.5}{0.5}=\dfrac{85}{5}=17[/tex]
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.
