Name: _____________________
AU10: Notes & HW – Lesson 1
Class: _________________
Date: _________________
1.
The data in the table below are graphed, and the slope is examined. (RA11#15 – AU3)
The rate of change represented in this table can be described as
(1) negative (3) undefined
(2) positive (4) zero
2.
Given the functions g( x ), f( x ), and h( x ) shown below: (SS1 – AU9)
The correct list of functions ordered from greatest to least by average rate of change over the interval is 0
 x

3 is
(1) f( x ), g( x ), h( x ) (3) g( x ), f( x ), h( x )
(2) h( x ), g( x ), f( x ) (4) h( x ), f( x ), g( x )
1

3.
A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 20 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 40 feet per minute for the first 50 feet, stops for 3 minutes, and then continues at a constant speed of 40 feet per minute for the last 50 feet. (RJa12#36 – AU2)
Determine which animal won the race and by how much time.
4.
During a snowstorm, a meteorologist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-half inch per hour for the next four hours. (SS7 – AU2) a) On the grid below, draw and label a graph that models the accumulation of snow over time using the data the meteorologist collected. b) If the snowstorm started at 6 p.m., how much snow had accumulated by midnight?
2

5.
Albany begins the day with 5 inches of snow on the ground and Buffalo begins the same day with 2 inches of snow on the ground. Two snowstorms begin at the same time in Albany and
Buffalo, snowing at a rate of 0.8 inches per hour in Albany and 1.4 inches per hour in
Buffalo. The number of inches of snow on the ground in Albany and Buffalo during the course of these snowstorms are modeled by f( x ) and g( x ), respectively. f g
 
 


0 .
8 x
1 .
4 x


2
5
Determine the number of hours ( x ) that would pass before Albany and Buffalo have the same amount of snow on the ground. [The use of the grid below is optional.] (GC 1 – AU4) y x
3

6. Solve 8 m
2 
20 m

12
for m by factoring. (FS 5 – AU7)
7. About a year ago, Joey watched an online video of a band and noticed that it had been viewed only 843 times. One month later, Joey noticed that the band’s video had 1,708 views. Joey made the table below to keep track of the cumulative number of views the video was getting online. (FS 13 – AU5/6)
Months since 1 st Viewing Total Views
0 843
1
2
3
4
5
6
1,708
Forgot to record
7,124
14,684
29,787
62,381 a) Write a regression equation that best models these data. Round all values to the nearest hundredth . Justify your choice of regression equation. b) As shown in the table, Joey forgot to record the number of views after the second month. Use the equation from part a to estimate the number of full views of the online video that Joey forgot to record.
4