how do i write system of linear inequalities

Question

the maximum capacity for an average passenger elevator is 15 people and 3000 pounds. it's is estimated that adults weigh 200 pounds and kids weigh 100 pounds. 

 

Answer 1

Hello Rachel.

 

Let's set up this problem

 

A = # adults

K = # kids

 

From the first sentence

A + K ≤ 15

 

From the 1st and 2nd sentence, we have

200A + 100K ≤ 3000

 

So our system of inequalities is

 

     A  +      K ≤    15

200A + 100K ≤ 3000