Jorelle is planning a 5-day vacation. The trip will cost him $1,300.00 for airfare, food, and itineraries. He plans to stay in a hotel room for $80.00 per night. He only has $950.00 in savings, but he earns $25.00 per hour from his online tutoring services. Create a linear inequality in one variable that would best translate the problem. Determine the minimum number of hours Jorelle must tutor so he can have enough money for the trip.
A. 950+25x≥1,700; at least 30 hours
B. 950+25x≥1,300; at least 14 hours
C. 950+25x≤1,300; at most 14 hours
D. 950+25x≤1,700; at most 30 hours
The cost of the trip, including airfare, food, and itineraries is $1,300.00. Jorelle only has $950.00 in savings, so he needs to earn additional money through his online tutoring services.
Let x be the number of hours Jorelle must tutor.
He earns $25.00 per hour from his online tutoring services.
Given that he plans to stay in a hotel room for 5 days at $80.00 per night, the total cost of the hotel room is $80.00 x 5 = $<<80*5=400.00>>400.00.
The total amount Jorelle needs to cover the cost of the trip is $1,300.00 - $950.00 + $400.00 = $750.00 + $400.00 = $1,150.00.
Therefore, the linear inequality that best translates the problem is 950 + 25x ≥ 1,150.
To determine the minimum number of hours Jorelle must tutor, solve for x:
950 + 25x ≥ 1,150
25x ≥ 1,150 - 950
25x ≥ 200
x ≥ 200/25
x ≥ 8
Therefore, Jorelle must tutor at least 8 hours in order to have enough money for the trip.
The correct answer is:
B. 950 + 25x ≥ 1,300; at least 14 hours
Let x represent the number of hours Jorelle must tutor.
The total cost of the trip includes airfare, food, itineraries, and hotel expenses.
This can be represented as: 1,300 + (80 * 5) = 1,300 + 400 = 1,700.
Jorelle has $950 in savings and earns $25 per hour from tutoring.
To determine the minimum number of hours Jorelle must tutor, we need to find the inequality that represents the amount of money he has after tutoring.
Since he starts with $950, the initial inequality would be: 950 + 25x.
To ensure that the amount of money he has is greater than or equal to the total cost of the trip, the inequality is: 950 + 25x ≥ 1,700.
Therefore, the correct answer is:
A. 950+25x≥1,700; at least 30 hours