Algebra

A store had 50 bottles of olive oil. Each week, 40% of the olive oil bottles were sold and 20 new bottles arrived in shipments. Which recursive function best represents the number of bottles in the store, given that f(0) = 50?

f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.4 + 20, n > 0

f(n) = f(n − 1) ⋅ 0.4 + 20, n > 0

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  1. f(1) = .6(50) + 20 = 30 + 20 = 50
    f(2) = .6(50) + 20 = 50
    f(3) = .6(50) + 20 = 50 forever and ever, good inventory planning

    well try them, but you do not have to try many :)

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    Damon
  2. Calculate the first few terms using your description.
    (If 40% are sold, then 60% remain)

    f(0) = 50
    f(1) = .6(50) + 20 , looks like f(1) = .6(f(0)) + 20 = 50

    Well, isn't that special, the number of bottles remains at 50

    #1 and #3 yield the same result

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    Reiny

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