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The table below shows the distance d(t) in meters that an object travels in t seconds: t (seconds) d(t) (meters) 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 m/s; it represents the average speed of the object between 2 seconds and 6 seconds 80 m/s; it represents the average speed of the object between 2 seconds and 6 seconds 128 m/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds 80 m/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds

Respuesta :

Answer:

128 feet per second.

Step-by-step explanation:

s = 2 ⇔ t = 6

Follow: r = (576 - 64) ÷ (t - s)

r = 512 / 4 ⇒ 128ft/s

Hope This Helps :)

We have given  a table for time and distance traveled  .

Time (t)                         :-       2          4           6              8

Distance traveled d(t)  : -   64         256        576         1024

We need to find average rate of change of d(t) between time 2 seconds

and 6 seconds .

We know that the formula for average rate of change is :-

                                                 Change in distance

Average Rate of change  =   ---------------------------------------

                                                  Change in time  


Distance traveled at t = 2 is   64 meters .

Distance traveled at t = 6  is  576 meters .


Change in distance is   576 - 64   =  512 meters  .

Change in time is  6 - 2  =  4  seconds .

                                              change  in distance               512 meter

Average Rate of change  =  -----------------------------     =   -------------------------

                                                  Change in time                      4 seconds

                                                                                    =   1 28  meter/ second.


Thus Average rate of change is 128 m/s .

This is the change in distance with respect to time .

This represent the speed .

Thus (A) is the correct option .

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


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