
Answer:
 110 miles
Step-by-step explanation:
Jasmine will be charged for m miles ...
 18.95 + 0.19m
She requires that amount be no greater than $40. So, the inequality she needs to solve is ...
 18.95 + 0.19m ≤ 40.00
 0.19m ≤ 21.05 . . . . . . . . . . . subtract 18.95
 m ≤ 110.79 . . . . . . . . . . . . . . divide by 0.19
It is inappropriate to round to the nearest mile, which is 111 miles. If Jasmine travels that far, the charges will exceed $40.00.
Jasmine can travel a maximum of 110 miles without the cost of the rental going over $40.
_____
Charges for 111 miles would come to $40.04, exceeding Jasmine's budget limit.