Challenge 19. Athletics T h e g r a p h a t t h e r i g h t s h o w s th e d is ta n c e a r u n n e r h a s
tr a v e le d as a f u n c t i o n o f th e a m o u n t o f t im e ( i n m in u t e s ) s h e h a s
b e e n r u n n in g. D r a w a g r a p h t h a t s h o w s th e t im e s h e h a s b e e n
ru nning as a function o f the distance she has traveled.
- Movies W h e n a m o v ie o n f i l m is p r o je c t e d , a c e r t a in n u m b e r o f
fr a m e s p a s s t h r o u g h th e p r o je c t o r p e r m in u t e. Y o u s a y t h a t th e
le n g t h o f th e m o v ie i n m in u t e s is a f u n c t i o n o f th e n u m b e r o f
fram es. S o m e one else says th a t th e n u m b e r o f fra m e s is a fu n c tio n
o f th e le n g t h o f th e m o v ie. C a n y o u b o t h b e r ig h t? E x p la in.
Running Distance1 b, /1 1 *\( o,
[tai )
8 12
Time (min)16Apply What You've Learned MATHEMATICALPRACTICES
MP 1
Look back at the table on page 233 showing the num ber of m onths and num ber
o f s u b s c r ib e r s f o r J a y d e n 's b lo g.
a. W hat is the relationship between the num ber of m onths and the num ber of
subscribers? Explain.
b. W hich column in the table represents the independent variable, and which column
represents the d e p e n d e n t variable? E xplain.
c. Is t h is r e la t io n s h ip a f u n c t io n? E x p la in.
d. L o o k f o r a p a t t e r n i n th e ta b le , a n d t h e n w r it e a n e q u a t io n t o r e p r e s e n t t h e
r e la t io n s h ip y o u f in d.
e. U s e th e p a t t e r n y o u f o u n d i n p a r t ( d ) t o e x p a n d t h e t a b le to 8 m o n t h s. T h e n u s e
y o u r e q u a t io n f r o m p a r t ( d ) t o f i n d t h e n u m b e r o f s u b s c r ib e r s f o r t h e 8 t h m o n t h
a n d c o m p a r e y o u r r e s u lt w i t h t h e v a lu e i n th e ta b le.
f. Which method would be best to find the number of subscribers after a year?
Explain.L
PowerAlgebra.com ^ Lesson 4-2 Patterns and Linear Functions
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