PC1.2 Rate of Change by panniuniu

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									                                Homework PC1.2: Rate of Change

Memorize:       Given two points,                              the slope between them is

Vocab:          slope; instantaneous rate of change

Warm-up:        Find the average rate of change between the two points (leave as simplified fraction):




Problems: Find the indicated average rates of change:




The above function is                . Approximate the instantaneous rate of change at     using a small
interval to the left by filling out the table:


         2                     4                    1.9
         2                     4                   1.99
         2                     4                   1.999


As the    values get closer to the   values, are the    values getting closer to some value:

Approximate the instantaneous rate of change at            :
Given                , calculate the average rate of change from:

        to       :

        to       :

        to       :

Approximate the instantaneous rate of change at            using a small interval to the right by filling out
the table:


         1                                          1.1
         1                                         1.01
         1                                         1.001


State the approximation of the instantaneous rate of change at           :



Word Problems: State the average rate of change, including the appropriate unit of measure:

Jason starts with 200 songs on his iPod. After 2 hours of downloading, he has 310 songs on his iPod.


At the start of the 9th grade, Jessica has not been on any dates. By the time she graduates from high
school (she did not have to repeat any years), she gone on 51 dates.


Kaitlyn’s physics project turned out to be so powerful that NASA had to keep track of her rocket. The
rocket is 1 mile above the earth in 30 seconds and 10 miles above the earth in 2.5 minutes.


In a plot to destroy Orem, a giant mass of green goo was animated by an evil nocturnal (he teaches math
during the day) scientist. The goo weighed 500 lbs initially. After consuming Mountain View High School
over the course of a week, the goo weighs 50,000 lbs.



Compute: Find the average rate of change between the two points (leave as simplified fraction):

								
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