Answer:
The maximum number of days is 5
Step-by-step explanation:
Let
x ----> the number of days
y ---> the total cost to rent a car in dollars
we know that
The fixed rental fee plus the daily fee multiplied by the number of days must be less than or equal to Pasion's budget
so
The inequality that represent this situation is
[tex]25+10x\leq 75[/tex]
Solve the inequality for x
Subtract 25 both sides
[tex]10x\leq 75-25[/tex]
[tex]10x\leq 50[/tex]
Divide by 10 both sides
[tex]x\leq 5\ days[/tex]
therefore
The maximum number of days is 5