Question

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. p must be greater than or equal to zero and p must be less than what number? why?​

Answer 1

p must be less than 100

Explanation:

Let

c ----> the cost in dollars to clean the stream

p ----> percent of the stream

we have

`c=(370,000)/(100-p)`

Remember that the cost cannot be a negative number

and

the denominator cannot be a zero

so

`100-p > 0`

Solve for p

Multiply by -1

`-100+p < 0`

Adds 100 both sides

`p < 100`

therefore

p must be less than 100