Kira is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices.
company a charges
$110
and allows unlimited mileage.
company b has an initial fee of
$65
and charges an additional
$0.60
for every mile driven.
for what mileages will company a charge less than company b?
use
m
for the number of miles driven, and solve your inequality for
m
.

For this problem becasue it says to use m for miles we will use m in place of x and we will use P (standing for price) in place of Y. for the first equation (Company A) the equation would be it is unneeded to add the +0m but i did so you can see it here and compare later. for the second equation (Company B) the equation would be i left off the 0's in the 0.60 becasue they don't change the number as long as you pay attention to the decimal. for the next step you would set the 2 equations equal to eachother and solve to find after how many miles the price would be the same. in the last step i used properties of equations to flip the sides to make it more freindly to look at. what this says is that after 75 miles Company B will charge the same as Company A (a flat rate of 110) and it would be cheeper to use Company B anytime before 75 miles while it would be cheeper to use Company A anytime after 75 miles. setting this up as an inequlity btw would make it look like this (i will also sove it) [tex]110+0m<65+.6m \\ 110-65<.6m \\ 45<.6 \\ 75