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The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. (For instance, when p is 20, then the formula will calculate the cost to clean up 20 percent of the stream.) p must be greater than or equal to zero and p must be less than what number? Why?

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Answer:

[tex]0\leq p<100.[/tex]

Explanation:

We have in the problem the following expression,

[tex]c=3700(100-p)[/tex]

Where

c= cost in dollar

p= is percent of stream (Which [tex]p\geq 0[/tex])

P must be greater or equal to 0 but as well must be less than 100%

so we define the interval

[tex]0\leq p<100.[/tex]

If the value were equal to 100 the cost would be the equivalent of 0 and there would be no profit / gain.

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