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

Answer 1

To determine the minimum number of hours Jorelle must tutor, we need to consider his current savings, the total cost of the trip, and how much he earns from tutoring.

1. Total Cost of the Trip: Jorelle is planning to spend a total of $1,300.
2. Current Savings: Jorelle has $950 in savings.
3. Tutoring Earnings: Jorelle earns $25 per hour for tutoring.

Let \( x \) be the number of hours Jorelle tutors. The amount of money he will earn from tutoring is \( 25x \).

To find out how many hours he needs to tutor such that the total money he has (from savings and tutoring) is at least $1,300, we can set up the following inequality:

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

Now, let's solve this inequality for \( x \):

1. Subtract 950 from both sides: \[ 25x \geq 1,300 - 950 \]

2. Simplifying the right-hand side: \[ 25x \geq 350 \]

3. Divide both sides by 25: \[ x \geq \frac{350}{25} \]

4. Calculating the right-hand side: \[ x \geq 14 \]

Therefore, the correct linear inequality is:

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

And Jorelle must tutor at least 14 hours to have enough money for the trip.

So, the response that matches this answer is:

• \( 950 + 25x \geq 1,300; \text{ at least } 14 \text{ hours} \)