Answered

A company's total cost C(x) to
manufacture a quantity x of a
certain item can be represented
by C(x) = 0.03x² + 27x + 850.
Find the average rate of
change in total cost for the
first 300 items manufactured.
A) $27/item
Target
B) $30/item
the circus
C) $42/item
the gas station
D) $45/item
Starbucks
E) $36/item
the fair



Answer :

mathstudent55

Answer:

E) $36/item

the fair

Step-by-step explanation:

average rate of change from C(a) to C(b) = [C(b) - C(a)]/(b - a)

a = 0

b = 300

C(a) = c(0) = 850

C(b) = c(300) = 0.03(300²) + 27(300) + 850

C(300) = 11650

average rate of change = (11650 - 850)/(300 - 0) =

= 10800/300 = 36

Answer: $36/item