suppose a cost - benefit model is given by y = \\frac{6.5x}{100 - x} where x is a number of percent and y is…

suppose a cost - benefit model is given by y = \\frac{6.5x}{100 - x} where x is a number of percent and y is the cost, in thousands of dollars, of removing x percent of a given pollutant. a. find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y = 6.50 70% y = 15.17 80% y = 26.00 90% y = 58.50 95% y = 123.50 98% y = 318.50 99% y = 643.50 (type an integer or decimal rounded to two decimal places as needed.) b. is it possible, according to this function, to remove all the pollutant? yes no

suppose a cost - benefit model is given by y = \\frac{6.5x}{100 - x} where x is a number of percent and y is the cost, in thousands of dollars, of removing x percent of a given pollutant. a. find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y = 6.50 70% y = 15.17 80% y = 26.00 90% y = 58.50 95% y = 123.50 98% y = 318.50 99% y = 643.50 (type an integer or decimal rounded to two decimal places as needed.) b. is it possible, according to this function, to remove all the pollutant? yes no

Answer

Explanation:

Step1: Substitute x = 50 into the formula

$y=\frac{6.5\times50}{100 - 50}=\frac{325}{50}=6.50$

Step2: Substitute x = 70 into the formula

$y=\frac{6.5\times70}{100 - 70}=\frac{455}{30}\approx15.17$

Step3: Substitute x = 80 into the formula

$y=\frac{6.5\times80}{100 - 80}=\frac{520}{20}=26.00$

Step4: Substitute x = 90 into the formula

$y=\frac{6.5\times90}{100 - 90}=\frac{585}{10}=58.50$

Step5: Substitute x = 95 into the formula

$y=\frac{6.5\times95}{100 - 95}=\frac{617.5}{5}=123.50$

Step6: Substitute x = 98 into the formula

$y=\frac{6.5\times98}{100 - 98}=\frac{637}{2}=318.50$

Step7: Substitute x = 99 into the formula

$y=\frac{6.5\times99}{100 - 99}=\frac{643.5}{1}=643.50$

Step8: Analyze removing all pollutants

If we want to remove all the pollutant, then $x = 100$. Substitute $x = 100$ into $y=\frac{6.5x}{100 - x}$, the denominator $100 - x=0$. Division by zero is undefined. So it is not possible to remove all the pollutant.

Answer:

a. 50%: $y = 6.50$ 70%: $y = 15.17$ 80%: $y = 26.00$ 90%: $y = 58.50$ 95%: $y = 123.50$ 98%: $y = 318.50$ 99%: $y = 643.50$ b. No