Question

Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse. Then, she bought a headset that put her over her budget. Let x represent the cost of the headset. Which inequality describes the problem?

Answer 1

The inequality representing Allie's budget problem where she exceeded the planned $120 spending limit on a gaming mouse and headset, after having spent $49.95 on the mouse, is 49.95 + x > 120, where x is the cost of the headset.

Step-by-step explanation:

Allie's situation is a classic example of a consumer's budget problem. She planned to spend up to $120 on both a gaming mouse and headset. The mouse cost her $49.95, and if we let x represent the cost of the headset, the inequality that represents the scenario where she goes over her budget would be:

49.95 + x > 120
This inequality shows that the total cost of the gaming mouse and headset combined (x + 49.95) is greater than Allie's planned budget of $120.