direct, inverse, and joint variation - boise state...

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If you travel at a constant speed(rate), the distance you travel varies directly with time. If you travel 182 miles in 3.5 hours, how far will you travel at the same constant speed in 5 hours? d = (r)(t) The driving time between 2 specific locations varies inversely with the average driving speed(rate). The driving distance between Chicago and Minneapolis is about 400 miles. r t Pick random "r's" Direct, Inverse, and Joint Variation 12.3

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If you travel at a constant speed(rate), the distance you travel varies directly with time.  

If you travel 182 miles in 3.5 hours, how far will you travel at the same constant speed in 5 hours?

d = (r)(t)

The driving time between 2 specific locations varies inversely with the average driving speed(rate).  The driving distance between Chicago and Minneapolis is about 400 miles. 

r

t

Pick random "r's"

 Direct, Inverse, and Joint Variation12.3

approximately26,000

12.4

2

12.5

To find the slant asymptote, take the numeratordivided by the denominator. If you can use it , DON'T FORGET about synthetic division!!

Vertical Asymptote(s):

Horizontal Asymptote:

None

y = 0H.A.Becausem<n, wehave ahorizontalasymptoteat y=0.

V.A.

X Y

­3 0.6

­2 1.2

­1 3

0 6

1 3

2 1.2

3 0.6

D:R:

D:R:

Vertical Asymptote(s):

Horizontal Asymptote: y = 2

x = 3 ANDx = ­3

H.A.V.A.

Vertical Asymptote(s):

Horizontal Asymptote:

Slant asymptote:

x = 2

None

y = x + 5V.A. H.A.

Becausem>n, wehave NOhorizontalasymptote.

S.A.2 1 3 ­4

2 1 3 ­4

125

106

End behavior

D:R: