Question

The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ ≥ 75 + 125h What value of h does NOT make the inequality true?

Answer 1

Explanation:

Let h represent the number of nights that the Jones family could spend at the hotel.

They determine that the hotel will average $125 a night and tickets. It means that the cost of h nights would be

125 × h = 125h

The tickets for scuba diving are $75. The total amount that they would spend is

75 + 125h

Since the Jones family has saved a maximum of $750 for their family vacation, the inequality would be

750 ≥ 75 + 125h

Reversing the inequality, it becomes

75 + 125h ≤ 750

Solving for h, it becomes

125h ≤ 750 - 75

125h ≤ 675

h ≤ 675/125

h ≤ 5.4

Therefore,

For any value of h greater than 5.4 nights, the inequality will not be true