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

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 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 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

Answer 1

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

Answer 2

so is it the right answer tho?

Answer 3

I think so

Answer 4

The correct answer is:

950 + 25x ≥ 1,300; at least 14 hours

Explanation:
In this linear inequality, we want to find the minimum number of hours Jorelle must tutor so he can have enough money for the trip. Jorelle's savings are $950, and he earns $25 per hour from his online tutoring services. The cost of the trip is $1,300. To determine the minimum number of hours Jorelle needs to tutor, we need to find a value for 'x' that makes the total amount of money earned (950 + 25x) greater than or equal to the cost of the trip (1,300). Therefore, the correct inequality is 950 + 25x ≥ 1,300.

Answer 5

The linear inequality that represents the problem is:

950 + 25x ≥ 1,300

This translates to "Jorelle's savings ($950) plus his earnings from tutoring ($25 per hour) multiplied by the number of hours tutoring, is greater than or equal to the total cost of the trip ($1,300)."

To determine the minimum number of hours Jorelle must tutor so he can have enough money for the trip, we can solve the inequality:

950 + 25x ≥ 1,300

First, subtract 950 from both sides of the inequality:

25x ≥ 1,300 - 950
25x ≥ 350

Then, divide both sides by 25 to solve for x:

x ≥ 350 / 25
x ≥ 14

Therefore, the minimum number of hours Jorelle must tutor is at least 14 hours. So the correct answer is:

950 + 25x ≥ 1,300; at least 14 hours.