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Math Help - C as a function of L

  1. #1
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    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?
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    Quote Originally Posted by sksksk View Post
    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
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