1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the particulate concentration of a toxic heavy metal to a safe level. The function, C(x), represents the pollutant concentration in ppm as a function of the number of filters that the effluent must pass through, x. C(x) = 2x a) Determine the concentration stream. ((x)=2x-x-5 x+3 x-5 x+2 C(O)=0-(-3) of pollutant is The concentration 2.5ppm. C(0)=2.5 of pollutants, as a decimal, if no filters are placed in the effluent ((0)=2(0) 0+3 (0) : 0 - (2) b) Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm. To do this, set C to and solve the resulting equation for x. There will be two answers but only one answer is valid in the practical domain of the problem. Show all your algebra steps! Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS. The point of intersection should be your solution.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm. To do this, set C to 5 4 and solve the resulting equation for x. Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS. The point of intersection should be your solution.

Math 0132 Tutorial 5 Worksheet: Solving Rational Equations (Unit 3, chapter 2)
1. Solve a Rational Equation
The effluent from a gold mine is being filtered to reduce the particulate concentration of a toxic heavy
metal to a safe level. The function, C(x), represents the pollutant concentration in ppm as a function of
the number of filters that the effluent must pass through, x.
C(x)
C(x) = 2x
x+3
=
2x
x+3
-
a) Determine the concentration
stream.
-
((0)=0-(-3) The concentration
((0)= 2(0)
is
0+3
((0) = 2.5
2.5ppm.
((0) : 음 -
b) Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm.
5
x-5
x+2
x-5
x+2
of pollutants, as a decimal, if no filters are placed in the effluent
0-5
99
O+2
To do this, set C to and solve the resulting equation for x. There will be two answers but only
-
4
one answer is valid in the practical domain of the problem. Show all your algebra steps!
Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS.
The point of intersection should be your solution.
Transcribed Image Text:Math 0132 Tutorial 5 Worksheet: Solving Rational Equations (Unit 3, chapter 2) 1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the particulate concentration of a toxic heavy metal to a safe level. The function, C(x), represents the pollutant concentration in ppm as a function of the number of filters that the effluent must pass through, x. C(x) C(x) = 2x x+3 = 2x x+3 - a) Determine the concentration stream. - ((0)=0-(-3) The concentration ((0)= 2(0) is 0+3 ((0) = 2.5 2.5ppm. ((0) : 음 - b) Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm. 5 x-5 x+2 x-5 x+2 of pollutants, as a decimal, if no filters are placed in the effluent 0-5 99 O+2 To do this, set C to and solve the resulting equation for x. There will be two answers but only - 4 one answer is valid in the practical domain of the problem. Show all your algebra steps! Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS. The point of intersection should be your solution.
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