Question

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.(1 point) Responses 950+25x≥1,700; at least 30 hours 950 plus 25 x greater-than-or-equal-to 1,700 ; at least 30 hours 950+25x≤1,300; at most 14 hours 950 plus 25 x less-than-or-equal-to 1,300 ; at most 14 hours 950+25x≤1,700; at most 30 hours 950 plus 25 x less-than-or-equal-to 1,700 ; at most 30 hours 950+25x≥1,300; at least 14 hours

Answer 1

To solve the problem, we need to set up the appropriate linear inequality in one variable that represents Jorelle's situation.

Jorelle has $950 in savings and he earns $25 per hour from tutoring. We know that the total cost of the trip is $1,300 (for airfare, food, and itineraries), plus $80 per night for lodging, for a total of 5 nights. So, the cost of the hotel is:

\[ 80 \text{ dollars/night} \times 5 \text{ nights} = 400 \text{ dollars} \]

Now, we can calculate the total cost of the trip:

\[ 1,300 + 400 = 1,700 \text{ dollars} \]

Now, Jorelle needs to make sure his total funds (savings plus earnings from tutoring) is greater than or equal to the total cost of the trip:

\[ 950 + 25x \geq 1,700 \]

Where \( x \) is the number of hours he will tutor.

Now, we can solve for \( x \):

1. Subtract 950 from both sides:

\[ 25x \geq 1,700 - 950 \] \[ 25x \geq 750 \]

2. Divide both sides by 25:

\[ x \geq 30 \]

This means Jorelle must tutor at least 30 hours to have enough money for the trip.

So the correct linear inequality is:

\[ 950 + 25x \geq 1,700 \]

And the answer is:
950 + 25x ≥ 1,700; at least 30 hours.