Homework Soursei average rate of change from x6 to x10 AM first day ii aver
(i) average rate of change from x=6 to x=10 AM (first day)
(ii) average rate of change from x=10 to x= 12 AM
(iii) average rate of change from x=6 to x=12
500 400 2 300 200 100 + 6 9 12 3 6 9 12 3 6 TimeSolution
Since the points at time x = 6 , 10 are not given in graph only approximate results can be found
(i) average rate of change from x=6 to x=10 AM (first day)
x = 6 f(x) = 480 ; x = 10 f(x) = 400
Avg rate = (f(x2) - f(x1) )/(x2 - x1) = ( 400-480)/10 -6 = -20
(ii) average rate of change from x=10 to x= 12 AM
x =10 f(x) = 400 ; x = 12 f(x) = 150
Avg rate = (f(x2) - f(x1) )/(x2 - x1) = ( 150 -400)/( 12 -10) = -125
(iii) average rate of change from x=6 to x=12
x = 6 f(x) = 480 ; x =12 f(x) = 150
Avg rate = (f(x2) - f(x1) )/(x2 - x1) = ( 150 - 480)/( 12 -6) = -55
