Question

Write a simplified inequality in standard form to model this situation.

Glados has been saving her allowance to buy gifts for her friends. She
wants to buy 10 whistles and 5 jackhammers. Her goal is to spend no
more than $ 192. Let x represent the cost of a whistle (in dollars) and
let y represent the cost of a jackhammer (in dollars).

Answer 1

The simplified inequality to model Glados's goal to spend no more than $192 on gifts, where x is the cost of a whistle and y is the cost of a jackhammer, is 10x + 5y ≤ 192.

Step-by-step explanation:

The situation described can be modeled with a linear inequality that represents a budget constraint. Glados wants to spend no more than $192 on 10 whistles and 5 jackhammers. Let x represent the cost of a whistle and y represent the cost of a jackhammer. The inequality in standard form to represent this situation is:

10x + 5y ≤ 192

This inequality ensures that the total amount spent on whistles and jackhammers does not exceed Glados's budget of $192.