Algebra 1 Common Core Student Edition, Grade 8-9

Pull It All Together

To solve these

problems,

you w ill pull

to g e th e r many

concepts and

skills that

you have

studied about

functions.

Co m p l et i n g t h e Per f o r m an ce Task

Look back at your results from th e Apply W hat You've L earned sections in Lessons 4-2,4-4,

a n d 4-7. Use th e w ork you did to com plete th e following.

1. Solve th e problem in th e Task D escription on page 233 by determ ining w h e th e r Jayden’
   or Keiko's blog will b e th e first to have 200 subscribers. A ssum e th e grow th in each
   blog’s subscribers continues to follow th e established pattern. Show all your w ork an d
   explain each step of your solution.


2. Reflect Choose one of the Mathematical Practices below and explain howyou applied it in
   your work on the Performance Task.
   MP 1: Make sense of problem s an d persevere in solving them.
   MP 4: M odel w ith m athem atics.
   MP 8: Look for a n d express regularity in re p eated reasoning.

On Yo u r Ow n

Santana an d G arrett started w riting blogs at th e sam e time. The n u m b e r of subscribers S

to S antana’s blog can be m od eled by th e function S = 12m + 24, w here m is th e n u m b e r of

m o n th s since she started th e blog. D ata for th e n u m b e r of subscribers to G arrett’s blog are

show n in th e table below.

Garrett's Blog

IBB

0 84

1 90

(^296)
(^3102)
(^4108)
a. Assum e th e growth in each blog's subscribers continues to follow the established
pattern. Will S antana an d G arrett ever have th e sam e n u m b e r of subscribers? If so, how
many? Explain.
b. After how m any m o n th s will S antana have m ore subscribers th a n G arrett? Explain.
282 Ch ap t er 4 Pull It A ll To g et h er