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 symbol 4000.

Explanation:

Step1: Calculate total weight of children and adults

The total weight of children is the product of the number of children $x$ and the average weight of a child (40 pounds), which is $40x$. The total weight of adults is the product of the number of adults $y$ and the average weight of an adult (160 pounds), which is $160y$. The combined weight of children and adults is $40x + 160y$.

Step2: Determine the inequality for over - loading

The elevator is overloaded when the combined weight of children and adults exceeds its capacity of 4000 pounds. So the inequality is $40x+160y>4000$.

Answer:

$40x + 160y>4000$