Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Pe r f o r m a n c e Ta sk

Co m p ar i n g t he Gr o w t h o f Tw o Bl o g s

J a y d e n a n d K e ik o e a c h s t a r t w r i t i n g a b lo g a t th e s a m e t im e. W h e n J a y d e n s ta rts

h is b lo g ( M o n t h 0 ), h e g e ts 4 8 o f h is f r ie n d s t o s u b s c r ib e. A t t h e e n d o f e a c h

m o n t h , h e r e c o r d s th e n u m b e r o f s u b s c r ib e r s i n a t a b le. H is d a ta f o r t h e f i r s t f e w

months are shown below.

Jayden's Blog

| Number of

I Months

Number of 1

Subscribers 1

0 48

1 56

(^264)
3 72
(^480)
K e ik o f in d s t h a t t h e n u m b e r o f s u b s c r ib e r s K to h e r b lo g c a n b e m o d e le d b y th e
fu n ctio n rule K= m2 + 10, where m is th e n u m b e r o f m o n th s sin c e she s ta rte d
th e b lo g.
Task D escr i p t i o n
D e t e r m in e w h e t h e r J a y d e n 's o r K e ik o ’s b lo g w i l l b e t h e f i r s t t o h a v e
2 0 0 s u b s c r ib e r s. A s s u m e th e g r o w t h i n e a c h b lo g ’s s u b s c r ib e r s c o n t in u e s to
fo llo w the established pattern.
Co n n ect i n g t h e Task t o t h e M at h Pr act i ces pr a ct ices
A s y o u c o m p le t e th e ta s k , y o u 'l l a p p ly s e v e ra l S ta n d a r d s f o r M a t h e m a t ic a l
Practice.

• Y o u ’ l l a n a ly z e d a ta t o d e t e r m in e th e ty p e o f r e la t io n s h ip b e tw e e n th e n u m b e r o f
  m o n t h s a n d t h e n u m b e r o f s u b s c r ib e r s. ( M P 1)


• Y o u ’ l l g r a p h t h e f u n c t io n s m o d e lin g b o t h J a y d e n 's a n d K e ik o ’s s u b s c r ib e r d a ta.
  (M P 4)


• Y o u ’l l e x te n d t h e s e q u e n c e e a c h s e t o f d a ta c re a te s. ( M P 8 )

I | Chapter 4 An Introduction to Functions Z3 233

N — ...................................