Many subscribes to an ondemand media provider Net play With

Many subscribes to an on-demand media provider. Net play. With each bill she pays a one tune fee of $5 the subscription and then pays $2 per movie she watches. Complete the table below by determining the average rate of change of the cost of Bethany\'s bill with respect to the number of movies she has watched. Define a function t that gives the cost of Bethany\'s bill (in dollars) in terms of the number of movies Bethany has watched k. Using the table above what do you notice about the average rate of change of the com of Bethany\'s bill with respect to the number of movies the has watched for consecutive equal changes in the number of moves she has watched? The average rate of change of the Cost of Bethany\'s bill with respect to the number of movies she has watched is at first increasing then decreasing. The average rate of change of the Cost of Bethany\'s bill with respect to the number of movies she has watched is constant. The average rate of change of the Cost of Bethany\'s

Solution

the cost of Bethanys bill can be given as :

p(k) = 5+ 2k

Let Avg rate of changeof cost/no. of movies = x

k =0 C = 5

k = 2; deltk = 2 ; p = 5+2*2 = $9 ; delta(p) = 4 ; Avg rate of changeof cost/no. of movies , x= 4/2 = 2

k= 4; deltak = 2 ; p = 5+2*4 = $13 ; delta(p) = $4 ; x = 2

k =6 ; deltak = 2 ; p = 5+2*6 = $17 ; delta(p) = $4 ; x= 2

b) p(k) = 5+2k

c) Avg rate of changeof cost/no. of movies is constant at 2 dollar/per movie