Question

1. Suppose that the cost of producing x tablets is defined by

C(x) - 200 + 10x + 0.2x, where x represents the number on
produced. The graph below represents the function.
presents the number of tablets
b (25,575)
(20,480)
(15,395)
Part A: Complete the boxes to label the graph.
Part B: Find the average rate of change over the interval [a,b].
Part C: Find the average rate of change over the interval [b,c).

Answer 1

we are given

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

...........Answer

part-c:

we have to find average on [b,c]

we can use formula

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values