Algebra 1 Common Core Student Edition, Grade 8-9

G o t If? 1. A l a n d f i l l h a s 5 0 ,0 0 0 to n s o f w a s te i n it. E a c h m o n t h i t a c c u m u la te s a n

a v e ra g e o f 4 2 0 m o r e t o n s o f w a s te. W h a t is a f u n c t i o n r u le t h a t r e p r e s e n ts

th e to ta l a m o u n t o f w aste a fte r m m o n th s?

W r it in g an d Ev al u at i n g a Funct ion Rule

R=l0n + 3000

The function rule R = 10 n + 3000 represents this situation. There are 30 • 16 = 480

general-seating tickets. Substitute 480 for n to fin d th e m a x im u m p o s s ib le re ve n u e.

R = 10(480) + 3000 = 7800

T h e m a x im u m p o s s ib le r e v e n u e f r o m t ic k e t s a le s is $ 7 8 0 0.

^ G o t It? 2. a. A k e n n e l c h a rg e s $ 1 5 p e r d a y to b o a r d d o g s. U p o n a r r iv a l, e a c h d o g m u s t

h a v e a f le a b a t h t h a t c o s ts $ 1 2. W r it e a f u n c t i o n r u le f o r t h e t o t a l c o s t f o r n

d a y s o f b o a r d in g p lu s a b a th. H o w m u c h d o e s a 1 0 - d a y s ta y co st?

b. Reasoning Does a 5-day stay cost half as m uch as a 10-day stay? Explain.

price per num ber of

ticke t * tickets sold

Define Let R = th e t o t a l r e v e n u e.

Let n = th e n u m b e r o f g e n e r a l- s e a tin g tic k e t s s o ld.

Write R =10 • n +

Relate to ta l revenue is general seatingrevenue s e a tin g r e v e n u ereserved

(2 5 • 10 • 12)

Reserved Seating: $25.00

1 fl rniA/c 1 1 coatc nor rn\A/

How can a model
help you w rite an
equation?
A model like the one
below can help you write
an expression for the
general-seating revenue.

H — Gen. s e a tin g — H

Qo} n tickets -H

Add the reserved-seating
revenue to get the total
revenue.

Concert Revenue A concert seating plan is shown below. Reserved seating is sold

out. Total revenue from ticket sales will depend on the number of general-seating

tickets sold. Write a function rule to represent this situation. What is the maximum

possible total revenue?