Answer:
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
[tex]10.95+3.71x\leq 4.44x[/tex]
solve for x
subtract 3.71x both sides
[tex]10.95\leq 4.44x-3.71x[/tex]
[tex]10.95\leq 0.73x[/tex]
Divide by 0.73 both sides
[tex]15\leq x[/tex]
Rewrite
[tex]x\geq 15[/tex]
therefore
The minimum number of miles he should travel is 15 miles
