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)Responses950+25x≤1,300; at most 14 hours950 plus 25 x less-than-or-equal-to 1,300 ; at most 14 hours950+25x≥1,300; at least 14 hours950 plus 25 x greater-than-or-equal-to 1,300 ; at least 14 hours950+25x≤1,700; at most 30 hours950 plus 25 x less-than-or-equal-to 1,700 ; at most 30 hours950+25x≥1,700; at least 30 hours

Answer 1

To determine the correct linear inequality for Jorelle's situation, we start with the costs involved in his trip and what he needs to have to cover those costs.

1. Jorelle's current savings: $950.00
2. Total cost of the trip: $1,300.00
3. Jorelle's earnings from tutoring: $25.00 per hour.

The equation that represents the total amount of money he will have after tutoring for \(x\) hours is:

\[ 950 + 25x \]

To ensure he has enough money for the trip, Jorelle needs this amount to be at least $1,300. Therefore, we set up the inequality:

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

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

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

This means Jorelle needs to tutor at least 14 hours to have enough money for the trip.

Thus, the correct linear inequality is: \[ 950 + 25x \geq 1,300; \text{ at least 14 hours} \]

The answer is: 950 + 25x ≥ 1,300; at least 14 hours.