Sluiten
1.) Band A charges $800 to play for the evening and Band B charges $450 plus $1.25 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.
Band A

Respuesta :

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