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≤1,300; at most 14 hours
950 plus 25 x less-than-or-equal-to 1,300 ; at most 14 hours

950+25x≥1,700; at 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

Answer 1

To create the linear inequality based on Jorelle's situation, we need to figure out how much money he needs and how much he currently has.

Jorelle's total trip cost is $1,300.00. He has $950.00 in savings and earns $25.00 per hour from tutoring. Let's define \( x \) as the number of hours Jorelle tutors. The money he will have after tutoring will be the sum of his savings and his earnings from tutoring, which can be represented by the expression \( 950 + 25x \).

Jorelle needs at least $1,300.00 for the trip, so we can set up the inequality:

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

Now let's solve for \( x \):

1. Subtract 950 from both sides:

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

2. Calculate the right side:

\[
25x \geq 350
\]

3. Divide both sides by 25:

\[
x \geq 14
\]

Thus, Jorelle must tutor at least 14 hours in order to have enough money for his trip.

The correct linear inequality is:

\[
950 + 25x \geq 1,300; \text{ at least 14 hours}
\]

Therefore, the correct response is:

**950 + 25x ≥ 1,300; at least 14 hours**