Question

Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.
Write a system of equations to represent the cost of the two bands.

Answer 1

Answer:

C(x) = $700 ;

C(x) = $550 + $1.50x

Step-by-step explanation:

Given that :

Band A = $700 to play for the evening

Band B = $550 plus $1.50 per student

Equation for cost of the 2 bands :

Let

cost function= C(x)

x = number of students

Band A:

C(x) = $700

Band B:

C(x) = $550 + $1.50x

Answer 2

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the rate of change of y with respect to x, b is the y intercept.

Let y represent the total cost and x represent the number of students.

Band A charged $700 to play for the evening, hence:

For band A: y = 700

Band B changers $550 plus $1.50 per student, hence:

For band B: y = 550 + 1.5x

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

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