SOLUTION: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles w

Algebra ->  Equations -> SOLUTION: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles w      Log On


   

Question 152338: A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?
HELP ME PLS
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
If you equate the 2 rate to get the # of travel in miles, you're paying the same amount either you take Rate1 or Rate2.
When you go over this computed travel in miles, Rate2 will be a better choice. Let's see:
Let x= travelled distance in miles
Rate1=Rate2
72%2B%280.16%2Fmile%29x=144%2B%280.08%2Fmile%29x
%280.16x%2Fmile%29-%280.08x%2Fmile%29=144-72
%280.08x%2Fmile%29=72 ----> %28cross%280.08%29x%29%2Fcross%280.08%29mile=cross%2872%29900%2Fcross%280.08%29
x=900miles, We'll check each Rate
Rate1: 72%2B%280.16%2Fcross%28mile%29%29%28900cross%28miles%29%29=72%2B144=$216.00
Rate2: 144%2B%280.08%2Fcross%28mile%29%29%28900cross%28miles%29%29=144%2B72=$216.00
If travelled 900 miles, you can choose either Rate bec you'll pay the same
Let's try 901miles
Rate1:72%2B%280.16%2Fcross%28mile%29%29%28901cross%28miles%29%29=72%2B144.16=$216.16
Rate2:144%2B%280.08%2Fcross%28mile%29%29%28901cross%28miles%29%29=144%2B72.08=$216.08
.
In conclusion, you'll get more savings on Rate2 if you travel more than 900 miles. Try 1500 miles? 3000 miles?
Thank you,
Jojo