Answer:
240 miles
Step-by-step explanation:
Given that:
Charges offered by Prestige car rentals for renting a midsize vehicle:
Fixed charges = $47
Per mile charges for renting a midsize vehicle = $0.07
Charges offered by Gateway Auto for renting a midsize vehicle:
Fixed charges = $35
Per mile charges for renting a midsize vehicle = $0.12
To find:
Number of miles for which both the companies charge the same price?
Solution:
Let the number of miles for which both the companies will charge the same price = [tex]x[/tex] miles
Charges for one mile by Prestige car rentals = $0.07
Charges for [tex]x[/tex] miles by Prestige car rentals = $0.07[tex]x[/tex]
Total charges by Prestige Car rentals = $47 + $0.07[tex]x[/tex]
Charges for one mile by Gateway Auto = $0.12
Charges for [tex]x[/tex] miles by Gateway Auto = $0.12[tex]x[/tex]
Total charges by Gateway Auto = $35 + $0.12[tex]x[/tex]
As per question statement, the charges are same:
[tex]\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}[/tex]
