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1
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An astronaut drops a rock off the edge of a cliff on the Moon. The
distance,  , in meters, the rock travels after t
seconds can be modeled by the function  . What is the average speed, in meters per
second, of the rock between 5 and 10 seconds after it was dropped?
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2
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The graph below shows the distance in miles, m, hiked from a camp in h
hours. Which hourly
interval had the greatest rate of change? a) | hour 0 to hour 1 | c) | hour 2 to hour 3 | b) | hour 1 to hour 2 | d) | hour 3 to hour
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3
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The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below. During which interval was their average speed the greatest? a) | the first hour to the second hour | c) | the sixth hour to the eighth
hour | b) | the second hour to the fourth hour | d) | the eighth hour to the tenth
hour |
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4
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Firing a piece of pottery in a kiln takes place at different temperatures for
different amounts of time. The graph below shows the temperatures in a kiln while firing a
piece of pottery after the kiln is preheated to 200ºF. During which time interval did the
temperature in the kiln show the greatest average rate of change? a) | 0 to 1 hour | c) | 2.5 hours to 5 hours | b) | 1 hour to 1.5 hours | d) | 5 hours to 8
hours |
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5
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The table below shows the year and the number of households in a building that
had high-speed broadband internet access. For which interval of time was the average rate of change the
smallest? a) | 2002 - 2004 | c) | 2004 - 2006 | b) | 2003 - 2005 | d) | 2005 - 2007 |
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6
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The table below shows the cost of mailing a postcard in different years.
During which time interval did the cost increase at the greatest average rate? a) | 1898-1971 | c) | 1985-2006 | b) | 1971-1985 | d) | 2006-2012 |
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7
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The table below shows the average diameter of a pupil in a person’s eye as
he or she grows older. What
is the average rate of change, in millimeters per year, of a person’s pupil diameter from age
20 to age 80? a) | 2.4 | c) |  | b) | 0.04 | d) |  |
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8
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Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged
it four times. The table below shows the area of the photograph after each
enlargement. What is the average
rate of change of the area from the original photograph to the fourth enlargement, to the nearest
tenth?
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9
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Given the functions  ,  , and  shown
below: The correct list of functions ordered
from greatest to least by average rate of change over the interval  is
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