Question

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

Answer 1

`y = 800` ---- Band A

`y = 450 + 1.25x` --- Band B

Explanation:

Given

Band A:

`Charges = \$800` per student

Band B:

`Charges = \$450`

`Rate = \$1.25` 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:

`y = 800`

For band B, the total y is calculated as thus:

y = Base Charges + Rate * Number of students (x)

`y = 450 + 1.25 * x`

`y = 450 + 1.25x`

So, the charges for the bands are:

`y = 800` ---- Band A

`y = 450 + 1.25x` --- Band B