Answer
a.
$C(1000)=34,000$
$C(10,000)=205,000$
b.
The answers represent costs of printing 1000 and 10,000 copies of a math book.
c
$C(0)=5,000$
This represents the fixed cost (the cost before any book is printed)
d.
Net change =$\$ 171,000$
Avg. rate of change $=\$ 19$ per book printed
Work Step by Step
a.
$C(1000)=5000+30(1000)-0.001(1000)^{2}=34,000$
$C(10,000)=5000+30(10,000)-0.001(10,000)^{2}=205,000$
b.
The answers represent costs of printing 1000 and 10,000 copies of a math book.
c
$C(0)=5000+30(0)-0.001(0)^{2}=5,000$
This represents the fixed cost (the cost before any book is printed)
d.
Net change =$C(10,000)-C(1000)=205,000-34,000=171,000$
Avg. rate of change $\displaystyle \frac{C(10,000)-C(1000)}{10,000-1000}=\frac{171,000}{9000}=19$
The unit of rate of change is (unit of C) per (unit of x)
