Question

many elevators have a capacity of 4500 pounds. complete parts (a) through (c) below. a. if the average weight of a child is 60 pounds and the average weight of an adult is 180 pounds, write an inequality that states that x number of children and y number of adults cause the elevator to be overloaded. the inequality is \\(\square\\) \\(\boldsymbol{\bigtriangledown}\\) 4500.

Explanation:

Step1: Determine total weight from children

The weight of \( x \) children, with each child weighing 60 pounds, is \( 60x \) pounds.

Step2: Determine total weight from adults

The weight of \( y \) adults, with each adult weighing 180 pounds, is \( 180y \) pounds.

Step3: Form the inequality for overloading

The total weight of \( x \) children and \( y \) adults is \( 60x + 180y \). For the elevator to be overloaded, this total weight must exceed 4500 pounds. So the inequality is \( 60x + 180y > 4500 \).

Answer:

\( 60x + 180y > \)