Final answer:
The limo can travel up to 100 miles and still stay within the budget of $750.
Step-by-step explanation:
To determine how far the limo can travel and still stay within the budget of $750, we need to calculate the rental cost and the cost per mile. The rental cost is $700, and the mileage cost is $0.50 per mile. Let's represent the number of miles as 'x'.
So the total cost of renting the limo for 'x' miles would be $700 + $0.50x. We want this total cost to be less than or equal to $750, so we can solve the inequality:
$700 + $0.50x ≤ $750
Simplifying the inequality:
$0.50x ≤ $750 - $700
$0.50x ≤ $50
Now, we can divide both sides of the inequality by $0.50 to isolate 'x':
x ≤ $50 / $0.50
x ≤ 100
The limo can travel up to 100 miles and still stay within the budget of $750.