In 2017, despacito became one of the most streamed songs of all time. it was streamed 4.6 billion times (4,600,000,000) within the first six months after it's initial release. calculate the profit earned using these numbers. (hint: use the slope intercept format to build this equation).

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 .