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.
Let x be the number of hours Jorelle must tutor.
The cost of the hotel room for 5 days is 80 * 5 = <<80*5=400>>400 dollars.
The total cost of the trip is 1300 + 400 = <<1300+400=1700>>1700 dollars.
Jorelle can earn 25 * x dollars from his online tutoring services.
He needs to earn at least 1700 - 950 = <<1700-950=750>>750 dollars more.
Hence, the linear inequality is 25x ≥ 750. Answer: \boxed{25x \geq 750}.
are you right?
Apologies for the mistake in the previous response. Let's correct it:
Let x be the number of hours Jorelle must tutor.
Jorelle will earn 25 * x dollars from his online tutoring services.
He needs to earn at least 1,700 - 950 = 750 dollars more to cover the trip expenses.
Hence, the linear inequality is 25x ≥ 750.
Therefore, the correct answer is 25x ≥ 750.
ok thx
You're welcome! If you have any more questions, feel free to ask.
Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.
To solve the inequality -3x ≥ 12, Mary Ann follows the steps:
Step 1: Divide both sides of the inequality by -3.
Dividing by a negative number flips the direction of the inequality sign, so we divide by -3 and change the direction of the inequality:
(-3x)/(-3) ≤ 12/(-3)
This simplifies to:
x ≤ -4
Step 2: Write the solution set.
The solution set for the inequality -3x ≥ 12 is x ≤ -4. This means that any value of x that is less than or equal to -4 will make the inequality true.
Therefore, the solution to the inequality -3x ≥ 12 is x ≤ -4.
But is it
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
or
Mary Ann divides both sides of the inequality by −3 to get x≥−4.
Apologies for the confusion in the previous response. Let's correct it:
To solve the inequality -3x ≥ 12, Mary Ann follows the steps:
Step 1: Divide both sides of the inequality by -3.
Dividing by a negative number flips the direction of the inequality sign, so we divide by -3 and change the direction of the inequality:
(-3x)/(-3) ≤ 12/(-3)
This simplifies to:
x ≤ -4
Step 2: Write the solution set.
The solution set for the inequality -3x ≥ 12 is x ≤ -4. This means that any value of x that is less than or equal to -4 will make the inequality true.
Therefore, the solution to the inequality -3x ≥ 12 is x ≤ -4.
So, Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.