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

Question

GPT-4o mini · Answer

To solve this problem, we need to determine how much Jorelle will need to earn to afford his trip. The total cost of the trip is $1,300.00, and he currently has $950.00 in savings. As a result, we can establish an inequality based on what he must earn through tutoring.

First, calculate how much more money he needs for the trip:

\[ 1,300 - 950 = 350 \]

So, Jorelle needs an additional $350. We can represent the amount of money he can earn by tutoring as $25x$, where $x$ is the number of hours he tutors.

To express the situation as a linear inequality:

\[ 950 + 25x \geq 1,300 \]

This inequality states that the sum of his current savings and the money he earns from tutoring should be at least $1,300.

Next, we can rearrange the inequality to find $x$:

\[ 25x \geq 1,300 - 950 \] \[ 25x \geq 350 \] \[ x \geq \frac{350}{25} \] \[ x \geq 14 \]

Thus, Jorelle must tutor at least 14 hours.

So the correct translation of the inequality is:

950 + 25x ≥ 1,300; at least 14 hours.