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≥1,700; at least 30 hours
950 plus 25 x greater-than-or-equal-to 1,700 ; at least 30 hours

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

Answer 1

To create the linear inequality, we first need to find out how much money Jorelle needs to save up for his trip.

The total cost of the trip includes the airfare, food, and itineraries, which amount to $1,300. Additionally, he plans to stay in a hotel for $80 per night for 5 nights:

Cost of hotel = $80/night * 5 nights = $400.

Now, let's add this to the trip cost:

Total trip cost = $1,300 (airfare, food, and itineraries) + $400 (hotel) = $1,700.

Now, Jorelle currently has $950 saved. Let \( x \) be the number of hours Jorelle tutors. He earns $25 per hour from tutoring.

The money Jorelle will have after tutoring is:

Amount after tutoring = Savings + Earnings from tutoring = \( 950 + 25x \).

For Jorelle to afford the trip, the amount after tutoring must be at least the total trip cost:

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

Now, we can solve the inequality to find the minimum number of hours he must tutor:

1. Subtract 950 from both sides: \[ 25x \geq 1,700 - 950 \] \[ 25x \geq 750. \]

2. Divide both sides by 25: \[ x \geq \frac{750}{25} \] \[ x \geq 30. \]

So, Jorelle must tutor for at least 30 hours.

Summary:

The linear inequality is: \[ 950 + 25x \geq 1,700. \] Jorelle must tutor for at least 30 hours.

The correct response is: 950 + 25x ≥ 1,700; at least 30 hours.