Answer:
[tex]y = 800[/tex] ---- Band A
[tex]y = 450 + 1.25x[/tex] --- Band B
Step-by-step explanation:
Given
Band A:
[tex]Charges = \$800[/tex] per student
Band B:
[tex]Charges = \$450[/tex]
[tex]Rate = \$1.25[/tex] per student
Required
Write an equation for the system?
For band A, the given charges is irrespective of number of students.
So, the total cost y is:
[tex]y = 800[/tex]
For band B, the total y is calculated as thus:
y = Base Charges + Rate * Number of students (x)
[tex]y = 450 + 1.25 * x[/tex]
[tex]y = 450 + 1.25x[/tex]
So, the charges for the bands are:
[tex]y = 800[/tex] ---- Band A
[tex]y = 450 + 1.25x[/tex] --- Band B