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 most 30 hours
B. 950+25x≤1,300; at most 14 hours
C. 950+25x≥1,300; at least 14 hours
D. 950+25x≥1,700; at least 30 hours
The correct answer is B. 950 + 25x ≤ 1,300; at most 14 hours.
To determine the minimum number of hours Jorelle must tutor, we need to consider the expenses he will have for the trip.
The trip will cost $1,300, including airfare, food, and itineraries. Additionally, he plans to stay in a hotel room for $80 per night, which means $80 x 5 = $400 for the hotel expenses.
Therefore, Jorelle needs to have a total of $1,300 + $400 = $1,700 for the trip.
Since he only has $950 in savings, he needs to earn the remaining amount of money through online tutoring.
Let x be the number of hours he needs to tutor.
For each hour of tutoring, he earns $25. Therefore, he will earn $25x.
So, the inequality that represents Jorelle's situation is 950 + 25x ≤ 1,700.
Simplifying the inequality, we have:
25x ≤ 1,700 - 950
25x ≤ 750
Dividing both sides of the inequality by 25, we have:
x ≤ 30
Thus, Jorelle must tutor at most 30 hours to have enough money for the trip.
Therefore, the correct answer is B. 950 + 25x ≤ 1,300; at most 14 hours.
The correct answer is:
C. 950 + 25x ≥ 1,300; at least 14 hours
In the given problem, Jorelle only has $950 in savings, and the cost of the trip is $1,300. To have enough money for the trip, he needs to have a total of at least $1,300. Since he earns $25 per hour from his online tutoring services, the amount of money he earns can be represented as 25x, where x is the number of hours he tutors.
To determine the minimum number of hours Jorelle must tutor, we set up the inequality:
950 + 25x ≥ 1,300
This inequality states that the total amount of money Jorelle has (950 + 25x) must be greater than or equal to the cost of the trip (1,300).
Simplifying the inequality gives:
25x ≥ 1,300 - 950
25x ≥ 350
Dividing both sides of the inequality by 25, we get:
x ≥ 14
Therefore, Jorelle must tutor for at least 14 hours to have enough money for the trip.