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.
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)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
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.

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education