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)

Question

Responses

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
950 plus 25 x less-than-or-equal-to 1,700 ; at most 30 hours

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
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Answer 1

Let's break down the problem step by step.

1. Total Trip Cost: Jorelle's trip will cost him $1,300.00, and he has $950.00 in savings. Thus, the additional amount he needs is: \[ 1,300 - 950 = 350 \]

2. Income from Tutoring: Jorelle earns $25.00 per hour from his online tutoring services. If we let \( x \) represent the number of hours he tutors, his total earnings from tutoring would be \( 25x \).

3. Inequality Setup: We want Jorelle's earnings from tutoring to be at least $350 in order to afford the trip, which leads us to the following inequality: \[ 25x \geq 350 \]

4. Solving for \( x \): To find the minimum number of hours he needs to tutor, we divide both sides by 25: \[ x \geq \frac{350}{25} \] \[ x \geq 14 \]

Based on the above analysis, we can create the linear inequality representing this problem:

Inequality: \[ 950 + 25x \geq 1,300 \] or, when rearranging it, \[ 25x \geq 350 \]

This means:

• Jorelle must tutor at least 14 hours.

Thus, the correct response is: 950 + 25x ≥ 1,300; at least 14 hours.