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

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 .

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl