An orchard needs to produce 5,000 oranges. Thefollowing function represents the average number oforanges that x number of trees must produce to meetthe goal. f(x) = 5000/xExpress the Range of this function in mathematical terms and in Reasonable terms.

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28-10-2022
Mathematics

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An orchard needs to produce 5,000 oranges. Thefollowing function represents the average number oforanges that x number of trees must produce to meetthe goal. f(x) = 5000/xExpress the Range of this function in mathematical terms and in Reasonable terms.

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IsiahQ493527 IsiahQ493527 · Answer 1 · 2022-10-28T09:59:22+02:00

The orchard needs to produce 5000 oranges, and the function they provide that represents the average number of oranges that x number of trees must provide is:

[tex]f(x)=\frac{5000}{x}[/tex]

So the Range (that is the set of y values that represent this relationship) is mathematically the set of Real numbers with y different from zero. But in reality, the average number of oranges should be a whole number, not a real number. So the closest to the Range description will be given by :

Mathematically, the set of y different from zero (0) in the Real number system (W) and Reasonable: the set of y larger (>) than zero (0) in the whole number system (W)

Because you want a whole number of oranges (not half or quarter of an orange) produced by each tree, and also a non-zero production of oranges per tree.