suppose a cost - benefit model is given by $y=\frac{7.1x}{100 - x}$ where y is the cost in thousands of…

suppose a cost - benefit model is given by $y=\frac{7.1x}{100 - x}$ where y is the cost in thousands of dollars of removing x percent of a certain pollutant. complete parts (a) and (b). (a) find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% $y = square$ 70% $y = square$ 80% $y = square$ 90% $y = square$ 95% $y = square$ 98% $y = square$ 99% $y = square$ (type an integer or decimal rounded to two decimal places as needed.)

suppose a cost - benefit model is given by $y=\frac{7.1x}{100 - x}$ where y is the cost in thousands of dollars of removing x percent of a certain pollutant. complete parts (a) and (b). (a) find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% $y = square$ 70% $y = square$ 80% $y = square$ 90% $y = square$ 95% $y = square$ 98% $y = square$ 99% $y = square$ (type an integer or decimal rounded to two decimal places as needed.)

Answer

Explanation:

Step1: Substitute x = 50 into the formula

Substitute (x = 50) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times50}{100 - 50}=\frac{355}{50}=7.10)

Step2: Substitute x = 70 into the formula

Substitute (x = 70) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times70}{100 - 70}=\frac{497}{30}\approx16.57)

Step3: Substitute x = 80 into the formula

Substitute (x = 80) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times80}{100 - 80}=\frac{568}{20}=28.40)

Step4: Substitute x = 90 into the formula

Substitute (x = 90) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times90}{100 - 90}=\frac{639}{10}=63.90)

Step5: Substitute x = 95 into the formula

Substitute (x = 95) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times95}{100 - 95}=\frac{674.5}{5}=134.90)

Step6: Substitute x = 98 into the formula

Substitute (x = 98) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times98}{100 - 98}=\frac{695.8}{2}=347.90)

Step7: Substitute x = 99 into the formula

Substitute (x = 99) into (y=\frac{7.1x}{100 - x}), we get (y=\frac{7.1\times99}{100 - 99}=\frac{702.9}{1}=702.90)

Answer:

50%: (y = 7.10) 70%: (y = 16.57) 80%: (y = 28.40) 90%: (y = 63.90) 95%: (y = 134.90) 98%: (y = 347.90) 99%: (y = 702.90)