# Thread: C as a function of L

1. ## C as a function of L

A chemical company spends $2 million to buy machinery before it starts producing chemicals. Then it spends$.5 million on raw material for each million liters of chemical products.

a) The number of liters produced ranges from 0 to 5 million. Make a table showing the relationship between the number of million liters produced, L, and the total cost, C, in millions of dollars, to produce that number of million liters.

b) Find a formula that expresses C as a function of L

I'm pretty sure I have a down, but b is confusing for me. Can anyone help?

2. Originally Posted by sksksk
A chemical company spends $2 million to buy machinery before it starts producing chemicals. Then it spends$.5 million on raw material for each million liters of chemical products.

a) The number of liters produced ranges from 0 to 5 million. Make a table showing the relationship between the number of million liters produced, L, and the total cost, C, in millions of dollars, to produce that number of million liters.

b) Find a formula that expresses C as a function of L

I'm pretty sure I have a down, but b is confusing for me. Can anyone help?
Well, how did you make your table? You started with a cost of $2 million and for every million liters you added an additional$0.5 million. It looks to me like
$C = 2000000 + 500000L$ (in dollars)
where L is in millions of liters.

-Dan