Question

The daily cost of production in a factory is calculated using c(x)= 200+16x, where x is the number of complete products manufactured. Find the average rate of change between 5 and 8 conpleted products manufactured

A: -1/16

B: 3

C: 16

D: 48

Answer 1

D: 48

Explanation:

Daily cost of production; c(x) = 200 + 16x

when the number of complete products manufactured is 5, the cost is:

c(5) = 200 + 16(5)

= 200 + 80

= 280

c(5) = 280

When the number of complete products manufactured is 8, the cost is:

c(8) = 200 + 16(8)

= 200 + 128

= 128

c(8) = 328

Average rate of change = c(8) - c(5)

= 328 - 280

= 48

Thus, the average rate of change is 48.