- Think About a Plan C o n c r e te f o r m in g tu b e s a re u s e d as m o ld s f o r
c y lin d r ic a l c o n c r e te s u p p o r ts. T h e v o lu m e V o f a tu b e is t h e p r o d u c t o f its
le n g th i and the area A o f its c ir c u la r b a s e. Y o u c a n m a k e | f t 3 o f c e m e n t
p e r b a g. W r it e a r u le t o f i n d th e n u m b e r o f b a g s o f c e m e n t n e e d e d to f i l l
a t u b e 4 f t lo n g as a f u n c t io n o f its r a d iu s r. H o w m a n y b a g s a re n e e d e d to
f i l l a t u b e w i t h a 4 - in. r a d iu s? A 5 - in. ra d iu s? A 6 - in. ra d iu s?- W h a t is a r u le f o r t h e v o lu m e Vof any tube?
- W hat operation do you use to find the num ber of bags needed for a
given volum e?
- Fountain A designer wants to make a circular fountain inside a square
o f g ra s s as s h o w n a t t h e r ig h t. W h a t is a r u le f o r t h e a re a A o f th e grass as
a fu n c tio n o f r?
(^ C h a lle n g e 21. Reasoning W h a t is a r u le f o r t h e f u n c t i o n r e p r e s e n te d b y
(o, f 1- xl l ) ' [2’ 4h ) ' ( 3' 9^ ) ' ( 4- 16l l ) ' a n d ( 5- 25^)? E x p la in
your reasoning. - Reasoning A c e r t a in f u n c t i o n f it s t h e f o l l o w i n g d e s c r ip t io n : A s th e v a lu e o f
x in c re a s e s b y 1 e a c h t im e , t h e v a lu e o f y c o n t i n u a l l y d e c re a s e s b y a s m a lle r
a m o u n t e a c h t im e , a n d n e v e r re a c h e s a v a lu e as l o w as 1. Is t h is f u n c t i o n
linear o r nonlinear? E x p la in y o u r r e a s o n in g.
^AT/ACT
St an d ar d i zed Test Pr ep
- T h e o r d e r e d p a ir s ( - 2 , 1 ) , ( - 1 , - 2 ) , (0 , - 3 ) , (1 , - 2 ) , a n d ( 2 , 1 ) r e p r e s e n t a f u n c t io n
Which rule could represent the function?
CD y — —3 x - 5 C3D y = x2 - 3 CD y = x + 3 - Y o u a re m a k in g a m o d e l o f th e l ib r a r y. T h e f l o o r p la n s f o r t h e lib r a r y
a n d t h e p la n s f o r y o u r m o d e l a re s h o w n. W h a t is th e v a lu e o f x?
(C D 1.4 in. C D 23.2 in.
CD 2.8 in. CD 437.5 in.
y = x z + 5100 ft35 ftShort
v Response
- A 15-oz can of tomatoes costs $.89, and a 29-oz can costs $1.69. W hich can has the
lo w e r cost p e r ounce? Justify y o u r answer.
Mixed Review
- D e t e r m in e w h e t h e r t h e r e la t io n s h ip i n th e ta b le
is a fu n c tio n. T h e n d e s c rib e th e re la tio n s h ip
u s in g w o r d s , a n e q u a t io n , a n d a g ra p h.
Get Read y! To p r e p a r e f o r Lesso n 4 - 4 , d o Ex e r ci se s 2 7 - 2 9.
Evaluate each expression for x = - 3, x = 0, and x = 2.5.- 7x - 3 28. 1 + 4 x
(^0 12)
3 5 7
- — 2 x 2
See Lesson 4-2.See Lesson 1-2.C
PowerAlgebra.com | L e s s o n 4 - 3 P a t t e r n s a n d N o n l i n e a r F u n c ti o n s 251