Question

The cost of cleaning up pollution in a stream is given by
$c = \frac{37000}{100 - p}$
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

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

$c=\frac{370,000}{100-p}$

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