Answer:
The minimum number of miles he should travel is 12 miles.
Step-by-step explanation:
Suppose, the number of miles, Jason should travel is [tex]x[/tex]
The service charges a fixed rate of $4.92 and an additional $3.79 per mile.
So, the total charge for [tex]x[/tex] miles will be: [tex](4.92+3.79x)[/tex] dollars.
Jason wants to spend no more than $4.20 per mile. That means, for [tex]x[/tex] miles he wants to spend [tex]\$4.20x[/tex]
So, the inequality will be.....
[tex]4.92+3.79x\leq 4.20x\\ \\ 4.92\leq 4.20x-3.79x\\ \\ 4.92\leq 0.41x\\ \\ 0.41x\geq 4.92\\ \\ x\geq \frac{4.92}{0.41} \\ \\ x\geq 12[/tex]
So, the minimum number of miles he should travel is 12 miles.
