Pu l l It All Together
To solve these
problems
you will pull
to g e th e r many
concepts and
skills th a t you
have studied
about solving
inequalities.
Co m p l et i n g t h e Pe r f o r m an ce Task
L o o k b a c k a t y o u r r e s u lts f r o m t h e A p p ly W h a t Y o u ’v e L e a r n e d i n L e s s o n s 3 -2 a n d 3 -4. U s e
th e w o rk y o u d id to c o m p le te th e fo llo w in g.- S o lv e t h e p r o b le m i n th e T a s k D e s c r ip t io n o n p a g e 163 b y f i n d i n g t h e le a s t n u m b e r o f
b o x e s o f p o p c o r n t h a t th e a t h le t ic b o o s te r s c a n s e ll a t t h e n e x t g a m e to m a k e a p r o f it.
Show all your w ork and explain each step of your solution. - Reflect C h o o s e o n e o f th e M a t h e m a t ic a l P r a c tic e s b e lo w a n d e x p la in h o w y o u a p p lie d
i t i n y o u r w o r k o n th e P e r f o r m a n c e Task.
MP 2: Reason abstractly and quantitatively.
M P 4: M o d e l w i t h m a th e m a tic s.
On Yo u r Ow n
U s e th e i n f o r m a t i o n o n p a g e 163 a b o u t t h e a t h le t ic b o o s te r s ’ c o n c e s s io n s ta n d. S u p p o s e
th e a t h le t ic b o o s te r s h a v e 4 0 e m p t y b o x e s o n h a n d , a n d p u r c h a s e o n e p a c k a g e o f 3 0 0 e m p t y
b o x e s to a u g m e n t t h e i r s u p p ly f o r th e n e x t g a m e. A t t h e n e x t g a m e , t h e y m a k e a p r o f i t o f
$ 1 6 5 .5 0 f r o m s e llin g p o p c o r n a n d h a v e s o m e e m p t y b o x e s le f t o v e r. F o r t h e f o l l o w i n g g a m e ,
t h e y n e e d to p u r c h a s e a d d it io n a l e m p t y b o x e s a g a in. W h a t is th e le a s t n u m b e r o f b o x e s o f
p o p c o r n t h e y c a n s e ll a t th e f o l l o w i n g g a m e a n d m a k e a p r o f it?