The minimum number of miles he should travel is 15 miles
Step-by-step explanation:
Let
x ---> the number of miles traveled
we know that
The number of miles traveled multiplied by $3.71 per mile plus a fixed rate of $10.95 must be less than or equal to the number of miles multiplied by $4.44 per mile
so
The inequality that represent this situation is
solve for x
subtract 3.71x both sides
Divide by 0.73 both sides
Rewrite
therefore
The minimum number of miles he should travel is 15 miles
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.