Algebra 1 Common Core Student Edition, Grade 8-9

^|jp Common Core Performance Task

Determining the Speed of a M onorail

A n i n f o r m a t i o n b o a r d i n a n a i r p o r t d is p la y s a s c a le d r a w in g o f th e a i r p o r t ’s n e w

monorail route. On the information board display, the distance between the

p a r k in g g a ra g e a n d t h e t r a i n s t a t io n is 3 6 in.

Airport Monorail Route

Parking garage Terminal A Terminal B Train station

• • • •

I-----------------------------------------------36 in. H

Sc a l e : 3 i n. = 5 0 0 f t

H e r e a re s o m e fa c ts a b o u t th e n e w m o n o r a il.

• The trip b e tw e e n th e p a rk in g garage a n d T e rm in a l A takes 60 s.


• T h e t r i p b e tw e e n T e r m in a l A a n d T e r m in a l B ta k e s 4 5 s.


• T h e m o n o r a i l ’s a v e ra g e s p e e d b e tw e e n T e r m in a l A a n d T e r m in a l B is
  8.1 ft/s greater th a n its average speed betw een the p a rkin g garage and
  Term inal A.


• T h e d is ta n c e f r o m t h e p a r k in g g a ra g e t o T e r m in a l B is 3 9 5 0 ft.


• The tr ip fro m T e rm in a l B to th e tra in s ta tio n takes 10% m o re tim e th a n th e trip
  f r o m th e p a r k in g g a ra g e t o T e r m in a l A.

Task D escr i p t i o n

Determine the average speed of the monorail, in miles per hour, over each

s e g m e n t o f t h e r o u te. R o u n d e a c h s p e e d t o th e n e a r e s t t e n t h o f a m i l e p e r h o u r.

Co n n ect i n g t h e Task t o t h e M at h Pr act i ces

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 ’ll w rite a n d solve an e q u a tio n to fin d th e average speed o f th e m o n o ra il,
  i n fe e t p e r s e c o n d , b e tw e e n th e p a r k in g g a ra g e a n d T e r m in a l A. ( M P 1, M P 2 )


• Y o u ’ll c o n v e rt rates fro m fe e t p e r se co n d to m ile s p e r h o u r. (M P 6 )


• Y o u ’l l u s e a s c a le d r a w in g a n d a p r o p o r t io n t o f i n d a n u n k n o w n d is ta n c e. ( M P 4 )

MATHEMATICAL

PRACTICES