S ketch a g ra p h to re p re s e n t e ac h s itu a tio n. L a b e l e a c h s ec tio n. ^ S e e P ro b le m 3.
1 1. h o u r s o f d a y lig h t e a c h d a y o v e r t h e c o u r s e o f o n e y e a r- your distance from the ground as you ride a Ferris w heel
1 3. y o u r p u ls e ra te as y o u w a t c h a s c a r y m o v ie
© A p p ly @ 1 4. Think A b o u t a Plan The shishi-odoshi, a p o p u la r Japanese garden ornam en t, was
o r ig in a lly d e s ig n e d t o f r ig h t e n a w a y de e r. U s in g w a te r, i t m a k e s a s h a rp r a p e a c h t im e
a b a m b o o t u b e rise s. S k e tc h a g r a p h t h a t c o u ld r e p re s e n t th e v o lu m e o f w a te r i n th e
b a m b o o t u b e as i t o p e ra te s.Tube beg in s fillin g. Full t u b e be g in s Tube fa lls a n d Tube rises a n d hits
falling. em pties w ater. rock, m aking noise.- W h a t q u a n t it ie s v a r y in t h is s itu a tio n?
- H ow are these quantities related?
- Error Analysis T - s h ir ts c o s t $ 1 2 .9 9 e a c h f o r t h e f ir s t 5 s h ir ts
p u r c h a s e d. E a c h a d d it io n a l T - s h ir t c o s ts $ 4 .9 9 e a c h. D e s c r ib e
a n d c o r r e c t t h e e r r o r i n th e g r a p h a t th e r i g h t t h a t re p r e s e n ts th e
r e la t io n s h ip b e tw e e n t o t a l c o s t a n d n u m b e r o f s h ir t s p u r c h a s e d. - Open-Ended D e s c r ib e a r e a l- w o r ld r e la t io n s h ip b e t w e e n th e
area o f a rectangle and its w id th , as the w id th varies and the
le n g t h s ta ys th e s a m e. S k e tc h a g r a p h t o s h o w t h is r e la t io n s h ip. - Skiing S k e tc h a g r a p h o f e a c h s it u a t io n. A r e th e g r a p h s t h e s a m e? E x p la in.
a. y o u r s p e e d as y o u tr a v e l o n a s k i l i f t f r o m th e b o t t o m o f a s k i s lo p e t o th e to p
b. y o u r s p e e d as y o u s k i f r o m t h e t o p o f a s k i s lo p e t o th e b o t t o m
18 .Reasoning T h e d ia g r a m a t t h e le f t b e lo w s h o w s a p o r t i o n o f a b ik e t r a il,
a. E x p la in w h e t h e r t h e g r a p h b e lo w is a r e a s o n a b le r e p r e s e n t a t io n o f h o w th e
s p e e d m i g h t c h a n g e f o r t h e r i d e r o f th e b lu e b ik e.
Blue Bike's SpeedTime
b. S k e tc h t w o g r a p h s t h a t c o u ld r e p r e s e n t a b ik e ’s s p e e d o v e r t im e. S k e tc h o n e
g r a p h f o r th e b lu e b ik e , a n d th e o t h e r f o r th e r e d b ik e.238 Chapter 4 An Introduction to Functions