14. The values in the table below represent the distance (measured in yards) of a dog from a park entrance as a function of the number of seconds since the dog entered the park. Change in the number of seconds since the Average rate of change of the dog's distance with respect to time The number of seconds since the The distance (in yards) of a dog distance (in yards) from the park entrance Change in the dog entered the park dog entered the park of a dog from the park entrance 26.25 3.2 30.976 4.5 77.344 7 271.25 a. Complete the table of values above. b. Sketch a graph of the number of yards the dog is from the park entrance in terms of the number of seconds since the dog entered the park. (Be sure to label your axes). c. Describe what these average rates of change tell you about how the distance of the dog from the park entrance is changing over the time interval from t = 0 to 1 = 7 seconds. d. İs your graph concave up, concave down, or some combination of both on the interval 0 < t< 7? Justify your answer from part (a) and (c).
14. The values in the table below represent the distance (measured in yards) of a dog from a park entrance as a function of the number of seconds since the dog entered the park. Change in the number of seconds since the Average rate of change of the dog's distance with respect to time The number of seconds since the The distance (in yards) of a dog distance (in yards) from the park entrance Change in the dog entered the park dog entered the park of a dog from the park entrance 26.25 3.2 30.976 4.5 77.344 7 271.25 a. Complete the table of values above. b. Sketch a graph of the number of yards the dog is from the park entrance in terms of the number of seconds since the dog entered the park. (Be sure to label your axes). c. Describe what these average rates of change tell you about how the distance of the dog from the park entrance is changing over the time interval from t = 0 to 1 = 7 seconds. d. İs your graph concave up, concave down, or some combination of both on the interval 0 < t< 7? Justify your answer from part (a) and (c).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:14. The values in the table below represent the distance (measured in yards) of a dog from a park
entrance as a function of the number of seconds since the dog entered the park.
Change in the
yards) of a dog distance (in yards)
of a dog from the
park entrance
Change in the
number of
Average rate of
change of the
dog's distance
with respect to
time
The number of
The distance (in
seconds since the seconds since the
dog entered the
park
dog entered the
park
from the park
entrance
26.25
3.2
30.976
4.5
77.344
7
271.25
a. Complete the table of values above.
b. Sketch a graph of the number of yards the dog is from the park entrance in terms of the number of
seconds since the dog entered the park. (Be sure to label your axes).
c. Describe what these average rates of change tell you about how the distance of the dog from the
park entrance is changing over the time interval from t = 0 to 1 = 7 seconds.
d. İs your graph concave up, concave down, or some combination of both on the interval 0 <t< 7?
Justify your answer from part (a) and (e).
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