Suppose a cost-benefit model is given by

y= 6.3x/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. Complete parts a through c.

A. Find the cost of removing each percent of pollutants: 50%;70%; 80%; 90%; 95%; 98%; 99%.

B. Is it possible, according to this function, to remove all the pollutant?

C. Graph the function.

a.) $630, $14700, $25200, $56700, $119700, $308700, $623700

b) It is impossible

c) find attached

Step-by-step explanation:

A formula that relates the percentage of pollutants removed to the cost of removing them

y=6.3x/(100-x)

Where y is the cost of removing the pollutants (in thousand dollars) and x is the pollutant percentage to be removed.

Putting 50% pollutant into the equation

y=6.3×50/(100-50)

y=$6.3 thousand or $6300

Putting 70% as x

y=6.3×70/(100-70)

y=$14700

Putting 80% as x

y=6.3×80/(100-80)

y=$25200

Putting 90% as x

y=6.3×90/(100-90)

y=$56700

Putting 95% as x

y=6.3×95/(100-95)

y= $119700

Putting 98% as x

y= 6.3×98/(100-98)

y=$308700

Putting 99% as x

y=6.3×99/(100-99)

y=$623700

b) Removing all the pollutants means removing 100% pollutants

Putting 100% as pollutant into the function, makes it undefined. Therefore 100%pollutant cannot be removed

y=6.3×100/(100-100)

y=630/0 (any fraction divided by zero os undefined)

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