Car rental agency A charges $50 per day plus 10 cents per mile driven. Agency B charges $20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than

A)
50 miles.
B)
100 miles.
C)
125 miles
D)
150 miles

Question

Car rental agency A charges $50 per day plus 10 cents per mile driven. Agency B charges $20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than

A)
50 miles.	
B)
100 miles.	
C)
125 miles	
D)
150 miles

anonymous · Answer

Allright so since our one day charge is 50$ we can start to make an equation for both companies

Company A: 50+.10x=?

Company B: 20+.30x=?

Lets Plug our options in for x.

A1:50+.10(50)=$55.00
A2:50+.10(100)=$60
A3:50+.10(125)=$62.50
A4:50+.10(150)=$65.00

B1:20+.30(50)=$35
B2:20+.30(100)=$50
B3:20+.30(125)=$57.5
B4:20.+.30(150)=$65

So our answer is D.  More than 150 miles.