Asked by Àlamìñ Görod on May 10, 2024

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The cost C in dollars of removing p % of the air pollutants in the stack emissions of a utility company is modeled by the equation below. Determine the percent of air pollutants in the stack emissions that can be removed for $480,000\$ 480,000$480,000 . C=160,000p100−p\mathrm { C } = \frac { 160,000 p } { 100 - p }C=100p160,000p

A) 75%75 \%75%
B) 79%79 \%79%
C) 68%68 \%68%
D) 62%62 \%62%
E) 45%45 \%45%

Stack Emissions

Gases or particles released into the atmosphere from industrial stacks or chimneys.

Air Pollutants

Substances in the air that can cause harm to humans and the environment.

  • Apply proportionality concepts to compute cost and demand scenarios in business applications.
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JC
jonathan capocciMay 17, 2024
Final Answer :
A
Explanation :
Given the cost C = $480,000, we substitute this value into the equation and solve for p: 480,000=160,000p100−p480,000 = \frac{160,000p}{100-p}480,000=100p160,000p . Solving this equation yields p = 75%.