Let's start by breaking down the total cost of Jorelle's trip:
Airfare, food, and itineraries cost: $1,300.00
Hotel cost per night: $80.00
Number of nights staying in a hotel: 5
The total cost of hotel accommodations would be: $80.00 * 5 = $<<80*5=400.00>>400.00
Jorelle only has $950.00 in savings, so his available funds can be represented by: $950.00
The total amount Jorelle can spend on the trip is the sum of his savings and earnings from tutoring: $950.00 + ($25.00 * h), where 'h' represents the number of hours he tutors.
Therefore, the linear inequality that represents this scenario is:
$950.00 + ($25.00 * h) ≥ $1,300.00 + $400.00
Simplifying this inequality further, we get:
$25.00 * h ≥ $1,700.00
To determine the minimum number of hours Jorelle must tutor to have enough money for the trip, we need to isolate 'h'. Divide both sides of the inequality by $25.00:
h ≥ $1,700.00 / $25.00
This simplifies to:
h ≥ 68
So, the minimum number of hours Jorelle must tutor to have enough money for the trip is 68 hours.