1. Writing a Function Rule
Lesson 27

2. Objective
HSN-Q.2(2): Define appropriate quantities for the purpose of descriptive modeling.

3. Example; Write a Function Rule
A concert seating plan has specific prices. Reserved seating is $25, and there are 10 rows with 12 seats per row. General seating is $10, and there are 30 rows with 16 seats per row. Reserved seating is sold out. Total revenue from ticket sales will depend on the number of general-seating tickets sold. Write a rule for the situation. Find the maximum revenue.
R = Total Revenue
n = number of general-seating tickets
Revenue is 10 per General and sold out reserved
R = 10n + (25 x 10 x 12)
R = 10n + 25(120)
Maximum Revenue = Sold out
R = 10n
n = 30 x 16 = 480
R = 10(480)
$7,800 maximum revenue

4. Example; Write a Function Rule
Write a function rule for the area of a triangle whose height is 4 inches more than twice the length of its base. What is the area of the triangle when the length of its base is 16 inches.
A = Area of triangle
h = height of triangle
b = base of triangle
A = ½ bh
Height is 4 inches more than twice the length of its base
h = 4 + 2b
Area of the triangle when the length of its base is 16 inches
A = ½ b(4 + 2b)
A = 2b + 1b2)
A = (16)2 + 2(16)
A = b2 + 2b
A =
A = 288 in.2

5. #27: Writing a Function Rule
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