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.

Question

(1 point)

Answer 1

To create a linear inequality that represents Jorelle's financial situation for the trip, we first need to calculate the total cost of the trip, including hotel expenses.

1. Total cost calculation:

   • Total trip cost (airfare, food, and itineraries): $1,300.00
   • Cost of hotel for 5 nights: \( 5 \text{ nights} \times 80 \text{ dollars/night} = 400 \text{ dollars} \)
   • Total cost of the trip = Airfare + Hotel = \( 1,300 + 400 = 1,700 \text{ dollars} \)

2. Available savings:

   • Jorelle currently has $950.00 in savings.

3. Additional money needed:

   • Additional money Jorelle needs = Total cost - Savings = \( 1,700 - 950 = 750 \text{ dollars} \)

4. Earnings from tutoring:

   • Jorelle earns $25.00 per hour from tutoring.
   • Let \( h \) represent the number of hours Jorelle needs to tutor.

5. Inequality:

   • The total money he can get from tutoring needs to be at least the additional money needed: \[ 25h \geq 750 \]

6. Solving the inequality: \[ h \geq \frac{750}{25} \ h \geq 30 \]

Thus, the linear inequality that represents Jorelle's situation is \( 25h \geq 750 \), and he must tutor a minimum of 30 hours to afford the trip.