Question

At a back-to-school sale at her favorite store, Tiana can purchase any pair of pants for $36 and any shirt for $10. Her parents tell her that she can spend at most $300 on these school clothes. Select the inequality in standard form that describe the situation use given numbers and follwing variables

x= the number of pairs of pants
y = the number of shirts

Answer 1

The inequality in standard form that represents the budget constraint for Tiana's back-to-school shopping, given the costs of pants and shirts and a maximum spending limit, is 36x + 10y ≤ 300, where x is the number of pants and y is the number of shirts.

Step-by-step explanation:

To find the inequality in standard form that describes Tiana's back-to-school shopping budget situation, where x represents the number of pairs of pants and y represents the number of shirts, we need to consider the costs of the pants and shirts as well as the maximum amount Tiana can spend. Every pair of pants costs $36, and each shirt costs $10. Tiana's parents have indicated she can spend at most $300.

The cost of x pairs of pants would be $36x and the cost of y shirts would be $10y. Tiana's total spending on pants and shirts should not exceed $300, leading to the inequality:

36x + 10y ≤ 300

This inequality represents the constraint on Tiana's spending for pants and shirts.