Question

Use an inequality to solve the problem. A car rental company has two rental rates. Rate 1 is $63 per day plus $0.18 per mile. Rate 2 is $126 per day plus $0.09 per mile. If you plan to rent for a week how many miles would you need to drive to pay less by taking Rate 2?

Answer 1

R1(m) = 63 + 0.18m
R2(m) = 126 + 0.09m
how many mile till they are equal?
63 + 0.18m = 126 + 0.09m
0.18m - 0.09m = 126 - 63
m(0.18 - 0.9) = 63
m = 63/0.9
m = 70

Answer 2

So I would have to drive 70 miles in order to same $ with rate 2?

THANK YOU SOOOOOO MUCH!!!!!

Answer 3

*save

Answer 4

yup, and because rate 2 is increasing at a slower rate per mile, it is the cheaper option for driving more than 70 miles

Answer 5

Wow, I totally faved you. My new BFF. It finally makes sense. Be patient with me, I'm raelly trying to FULLY understand. lol
So if driving more than 70 miles rate 2 is best option. but if less than 70 miles rate 1 would be best?

Answer 6

actually I am kind of confused maybe its just late for this idk, but where did you get m = 63/0.9? I got 700 insteead of 70? HELP!!

Answer 7

please!!

Answer 8

yes, less than 70 miles, rate one is best.

Answer 9

in the 3rd to last line, i evaluated the parentheses, (0.18 - 0.09) = 0.9

Answer 10

then divide that amount into both sides to get m by itself.

Answer 11

oh my!appear to have lost a zero somewhere. you are right, it should be 63/0.09 = 700

Answer 12

ok so use the 700 & take it from there. less than 700 miles will make rate @ cheaper?

Answer 13

@ *2