Question

Ms. Duynh spent $840 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $45 parking fee per day. The equation represents the total amount, in dollars, that Ms. Duynh spent on her hotel. 4(x+45)=840

Answer 1

The student's question about finding the nightly hotel room cost from the equation 4(x+45)=840 was solved by distributing, simplifying, and isolating the variable x to determine that Ms. Duynh spent $165 per night on the room.

Step-by-step explanation:

The student is asking a question related to linear equations, where they gave an equation 4(x+45)=840 that represents a situation involving Ms. Duynh spending $840 for a four-night hotel stay with an additional parking fee. The goal is to determine the amount spent on the hotel room per night, which is represented by x in the equation.

To solve for x, you will first distribute the 4 to both x and 45:

4x + 4(45) = 840

Which simplifies to:

4x + 180 = 840

Subtract 180 from both sides to isolate the terms with x:

4x = 660

Finally, divide both sides by 4 to solve for x:

x = 165

Therefore, Ms. Duynh spent $165 per night on the hotel room.