contestada

The cost of cleaning up pollution in a stream is given by
[tex]c = \frac{37000}{100 - p} [/tex]
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?​

Respuesta :

calculista

Answer:

p must be less than 100

Step-by-step explanation:

Let

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

p ----> percent of the stream

we have

[tex]c=\frac{370,000}{100-p}[/tex]

Remember that the cost cannot be a negative number

and

the denominator cannot be a zero

so

[tex]100-p > 0[/tex]

Solve for p

Multiply by -1

[tex]-100+p < 0[/tex]

Adds 100 both sides

[tex]p < 100[/tex]

therefore

p must be less than 100