Answer: This can be modeled by a relatively straightforward linear equation. Call the number of miles you travel m. The total cost for one week is then:
220 + .25*m
If we want to spend a maximum of $405, then we just set this total equal to 405 to find out how many miles that implies:
220 + .25m = 405
Subtract 220 from each side:
.25m = 185
Multiply by 4 to get rid of the .25 coefficient on the m:
4*.25m = 185*4
m = 740
So you can travel 740 miles in one week for $405.
Step-by-step explanation: hope this helps!!