tom saved $550 to go on a school trip. the cost for a hotel room, including tax, is $80 per night. write and inequality to show the number of nights tom can stay at the hotel.
80x < 550
To write an inequality that represents the number of nights Tom can stay at the hotel, we need to consider that the total cost of the hotel room must be less than or equal to the amount of money Tom has saved.
Let's assume that Tom can stay for "n" nights. The cost of one night at the hotel is $80, so the total cost for "n" nights is 80n. Therefore, we can write the inequality as:
80n ≤ 550
This inequality states that the product of the cost per night and the number of nights should be less than or equal to the amount Tom has saved.