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:

The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.

The inequality can be used to determine the number of nights the Jones family could spend at the hotel is

750 ≥ 75 + 125h

This can also be written as

75 + 125h ≤ 750

We would solve the inequality for the value of h.

125h ≤ 750 - 75

125h ≤ 675

h ≤ 675/125

h ≤ 5.4

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