Question 697408
First, I'll find the milage for which both
companies charge the same
Let {{{ C }}} = the charge for the day
given:
Company A:
(1) {{{ C = 40 + .8m }}}
Company B:
(2) {{{ C = 53 + .6m }}}
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Making the charges equal:
{{{ 40 + .8m = 53 + .6m }}}
{{{ .2m = 53 - 40 }}}
{{{ .2m = 13 }}}
{{{ m = 65 }}}
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So, for 65 miles driven, the charge is the same
for both companies
I want to know if A charges less than B with
more miles driven or less miles driven.
What If I say {{{ m = 65.001 }}}?
Company A:
(1) {{{ C = 40 + .8m }}}
(1) {{{ C = 40 + .8*65.001 }}}
(1) {{{ C = 40 + 52.0008 }}}
(1) {{{ C = 92.0008 }}}
Company B:
(2) {{{ C = 53 + .6m }}}
(2) {{{ C = 53 + .6*65.001 }}}
(2) {{{ C = 53 + 39.0006 }}}
(2) {{{ C = 92.0006 }}}
You can see that for slightly more than 65 miles driven, 
B charges less than A. That means less than 65 miles
must be driven for A to charge less than B.
{{{ m < 65 }}} answer