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 I Really Need Help! Please Solve!

 Apr 22, 2019
 #1
avatar+103131 
+2

OK....not too bad

 

Rate of change from  x = 1 to x  = 10  =   

 

[ log 10 - log 1 ]            [ 1 - 0 ]                1

____________   =    _________  =      ____

   10   -   1                       9                       9

 

Rate of change from 1 to 100

 

[ log 100 - log 1 ]                2  -  0               2

_______________  =    _________  =   _____

       100  -  1                        99                 99

 

Since  1/ 9 >  2 /99.....the average rate of change [ slope ] from 1 to 10  is greater than the average rate of change from 1 to 100.....but.....the rate of change between any two points will be positive...so....the slope is always positive

 

 

cool cool cool

 Apr 22, 2019

10 Online Users