Answer:
The System of Inequalities in this real-world scenario is:
x+y < = 525
9x+5y < = 1200
Step-by-step explanation:
In this question we are asked to to write a system of inequalities, thus a system of relating two variables, where the relationship will be of the form either greater > or less < or equal.
Given Information:
→ Maximum number possible in the summer camp: 525
→ People attending are Adults (lets call them [tex]x[/tex] and Campers (lets call them [tex]y[/tex])
→ Ticket Cost for Adults is $9
→ Ticket Cost for Campers is $5
→ Maximum budget available for both Adults and Campers is $1200
From these information we can obtain 2 Inequalities to define our system of equation.
The first inequality will be with respect to the Maximum Number of People possible which reads as:
[tex]x+y\leq 525[/tex] [sum of adults and campers should be less or equal to maximum number of people possible]
The second will be with respect to the Maximum Budget available which reads as:
[tex]9x+5y\leq 1200[/tex] [sum of the cost per ticket for adults and campers should be less or equal to maximum budget available]
Thus the System of Inequalities in this real-world scenario is:
[tex]x+y\leq 525\\9x+5y\leq 1200[/tex]
Which if solved can give us the values for [tex]x[/tex] and [tex]y[/tex], thus the number of adults and numbe of campers attedning the summer camp.
Answer:
x+y < = 525
9x+5y < = 1200
Step-by-step explanation:
