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Suppose that a rating as a function f budget is given by the function R(B), rating is
measured in thumbs up and budget in hundreds of thousands of dollars.
R(100)=5
: A movie that costs $10 million to produce will get 5 thumbs up.
R1(4)
: The production cost (in $100000) for a movie which got 4 thumbs up.
R’(20)=.5
: A movie which costs $2100000 will be rated
APPROXIMATELY
.5
thumbs lower than a movie which costs $2000000 to produce.
(R1)’(3)=2
: 2 units are $100000/ thumbs up.
3 units are thumbs up.
For a movie that received 3 thumbs up, you would need to increase the production
budget by ABOUT $200000 to get 4 thumbs up.
P=m(t) is the population of Mexico in millions, where t = number of years since 1980
(dP/dt, t=0 > 0
: In 1980, Mexico’s population was increasing.
m1(97.5)=18
: In 1998 (18 years after 1980) Mexico’s population was 97.5 million
people.
(m1)’(97.5)=.46 :
When 97.5 million people lived in Mexico, it took
ABOUT
half a
year for the population to increase by another million people.
Instantaneous Rate of Change:
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 Spring '08
 BLAKELOCK
 Math

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