Suppose the total cost of manufacturing q MP3 players is C(q)=2q^2-3q+100 dollars. In one day, the number of MP3 players produced in t hours can be modeled by the function q(t) = 30t.

Express the total manufacturing cost as a function of t.
***Please also explain your thought process.

Question

Suppose the total cost of manufacturing q MP3 players is C(q)=2q^2-3q+100 dollars. In one day, the number of MP3 players produced in t hours can be modeled by the function q(t) = 30t.

Express the total manufacturing cost as a function of t.
***Please also explain your thought process.

kirbykirby · Answer

They're just saying q is a function of t. You can replace all the q's in C(q) by 30t

$C(q(t))=2(30t)^2-3(30t)+100$

anonymous · Answer

Thanks. I knew I had to substitute the q's in C(q) by q(t) but I was making sure there was no further explanation needed.

kirbykirby · Answer

:)