Question 152338
If you equate the 2 rate to get the # of travel in miles, you're paying the same amount either you take {{{Rate1}}} or {{{Rate2}}}.
When you go over this computed travel in miles, {{{Rate2}}} will be a better choice. Let's see:
Let {{{x}}}= travelled distance in miles
{{{Rate1=Rate2}}}
{{{72+(0.16/mile)x=144+(0.08/mile)x}}}
{{{(0.16x/mile)-(0.08x/mile)=144-72}}}
{{{(0.08x/mile)=72}}} ----> {{{(cross(0.08)x)/cross(0.08)mile=cross(72)900/cross(0.08)}}}
{{{x=900miles}}}, We'll check each {{{Rate}}}
{{{Rate1}}}: {{{72+(0.16/cross(mile))(900cross(miles))=72+144}}}=$216.00
{{{Rate2}}}: {{{144+(0.08/cross(mile))(900cross(miles))=144+72}}}=$216.00
If travelled 900 miles, you can choose either {{{Rate}}} bec you'll pay the same
Let's try {{{901miles}}}
{{{Rate1}}}:{{{72+(0.16/cross(mile))(901cross(miles))=72+144.16}}}=$216.16
{{{Rate2}}}:{{{144+(0.08/cross(mile))(901cross(miles))=144+72.08}}}=$216.08
.
In conclusion, you'll get more savings on {{{Rate2}}} if you travel more than 900 miles. Try 1500 miles? 3000 miles?
Thank you,
Jojo