Question

Alonzo has $120 in debt, he makes $15 per hour, and he wants to have at least $75 left over after paying off his debt. Write an inequality that represents this situation.

a) 15h ≥ 120 - 75
b) 15h ≤ 120 - 75
c) 15h ≥ 120 + 75
d) 15h ≤ 120 + 75

Answer 1

The inequality that represents the given situation is 15h ≥ 120 + 75. This inequality states that the amount of money Alonzo earns, which is represented by 15h (where h is the number of hours he works), should be greater than or equal to the sum of his debt ($120) and the desired leftover amount ($75).

Step-by-step explanation:

To represent the situation where Alonzo wants to have at least $75 left over after paying off his $120 debt, we can write the inequality: 15h ≥ 120 + 75, This inequality states that the amount of money Alonzo earns, which is represented by 15h (where h is the number of hours he works), should be greater than or equal to the sum of his debt ($120) and the desired leftover amount ($75).

Inequality that represents the given situation is 15h ≥ 120 + 75. This inequality states that the amount of money Alonzo earns, which is represented by 15h (where h is the number of hours he works), should be greater than or equal to the sum of his debt ($120) and the desired leftover amount ($75).