Question

many elevators have a capacity of 4000 pounds. complete parts (a) through (c) below. a. if the average weight of a child is 40 pounds and the average weight of an adult is 160 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\\) \\(\bigtriangledown\\) 4000.

Explanation:

Step1: Calculate total weight of children and adults

The total weight of \( x \) children is \( 40x \) pounds (since each child is 40 pounds), and the total weight of \( y \) adults is \( 160y \) pounds (since each adult is 160 pounds). So the total weight of \( x \) children and \( y \) adults is \( 40x + 160y \) pounds.

Step2: Determine the inequality for overloading

The elevator is overloaded when the total weight exceeds its capacity (4000 pounds). So the inequality is \( 40x + 160y > 4000 \).

Answer:

\( 40x + 160y > 4000 \)