To so l ve t h ese
problems
you will pull
together many
concep t s and
sk i l l s t h at you
have st udied
ab out l i near
functions.Co m p l et i n g t h e Pe r f o r m a n c e Task
Look back at your results from the Apply W hat You’ve L earned sections in Lessons 5-1
an d 5-4. Use th e w ork you did to com plete th e following.- Solve th e problem in th e Task D escription on page 293 by predicting th e n u m b e r of
m arbles you n e e d to drop in th e glass to raise th e w ater level to the top of the glass.
Show all your w ork an d explain each step of your solution.
0 2. Reflect Choose one of th e M athem atical Practices below an d explain how you applied it
in your work on the Performance Task.
MP 1: Make sense of problem s a n d persevere in solving them.
MP 2: R eason abstractly a n d quantitatively.
MP 4: M odel w ith m athem atics.
On Yo u r Ow n
Maria drops pieces of gravel from h er driveway into a glass of w ater an d records th e w ater
heights show n in th e table below. The pieces of gravel vary in size.2 7.2(^6) 8.5
(^11) 9.0
(^13) 9.8
(^16) 10.0
(^20) 11.4
a. Predict th e n u m b e r of pieces of gravel M aria n eeds to drop in th e glass to raise th e w ater
level to th e top of the glass. Justify your prediction.
b. Do you th in k your prediction from p a rt (a) will be m ore or less accurate th a n the
prediction your m ad e w h en m arbles were being d ro p p e d into a glass? Explain.
352 Chapters Pull It All Together