Question 1146665
let a = what company A charges.
let b = what company B charges.
a = 119
b = 65 + .9 * m
m = number of miles driven.


you want to know the number of miles that will result in company A charging less than company B.
a < b implies that 119 < 65 + .9 * m
subtract 65 from both sides to get:
54 < .9 * m
divide both sides by .9 to get:
54 / .9 < m
this results in 60 < m
this means that m > 60.


company A charges less than company B when the number of miles driven is greater than 60.


when the number of miles is 60, company B charges 65 + .9 * 60 = 119.
this is the same as what company A charges.


when the number of miles is 61, company B charges 65 + .9 * 61 = 119.9.
this is more than company A charges.


the break even point is at 60 miles.
when the number of miles driven is greater than 60, company A charges less than company B.