SOLUTION: Car rental company has 2 rental rates. Rate one is $72 per day plus $0.18 per mile. Rate two is $144 per day plus $0.09 per mile. Write an inequality to show when rate two is le

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Question 150184This question is from textbook Introduction to Technical Math
: Car rental company has 2 rental rates. Rate one is $72 per day plus $0.18 per mile. Rate two is $144 per day plus $0.09 per mile. Write an inequality to show when rate two is less that rate one in terms of the number of miles (X). This question is from textbook Introduction to Technical Math

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let 'x'= no. of miles travelled
We need to equate the 2 rates to have a basis which one is better rate.
Rate 1 = Rate 2
72%2B%280.18%2Fmile%29%28x%29=144%2B%280.09%2Fmile%29%28x%29
0.18x-0.09x=144-72
0.09x=72
cross%280.09%29x%2Fcross%280.09%29=72%2F0.09 -----------> x=800 miles
Now, we used travelled miles 'x'= 800
For Rate 1:
72%2B%280.18%29%28800%29=216+dollars
For Rate 2:
144%2B%280.09%29%28800%29=216+dollars
See, you'll pay the same if travelled 800 miles.Choose Rate 1 or 2 doesn't matter.
If 'x' = 799 miles (1 mile less on our basis)
Rate 1: 72%2B%280.18%29%28799%29= $215.82
Rate 2: 144%2B%280.09%29%28799%29%29= $215.91
See, if you travelled less than 800 miles, RATE 1 is a better choice. More less travel, more discount you can get.
.
If 'x'= 801 miles ( 1 mile up on our basis)
Rate 1: 72%2B%280.18%29%28801%29= $216.18
Rate 2: 144%2B%280.09%29%28801%29= $216.09
See, if you start to travel more than 800 miles, RATE 2 is a better choice. More travel you do than 800 miles, the better savings you get.
Try it if you travel 1200 miles? 1500 miles? ----> RATE 2 is the choice!
Thank you,
Jojo