The table below shows the distance d (t) in feet that an object travels in t seconds: t (seconds) d (t) (feet) 2 64 4 256 6 576 8 1024 What is the average rate of change of d (t) between 2 seconds and 6 seconds, and what does it represent? 128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 80 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 128 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds 80 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds

Question

Charity Winters

Mathematics

19 April, 04:05

The table below shows the distance d (t) in feet that an object travels in t seconds: t (seconds) d (t) (feet) 2 64 4 256 6 576 8 1024 What is the average rate of change of d (t) between 2 seconds and 6 seconds, and what does it represent? 128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 80 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 128 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds 80 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds

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Hudson Mcclain · Answer 1

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1) / (x2-x1)

= (576-64) / (6-2)

= (512/4)

=128 ft/s

This represents the change in ft per second, or the average speed the object is going during the time period.