A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A started with 12000 cells and decreased at a constant rate of 3000 cells per hour after the chemical was applied. Strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. When will the strains have the same number of cells? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
icon
Related questions
Question
A group of scientists studied the effect of a chemical on various strains of bacteria. Bacteria A started with 12000 cells and decreased at a constant rate of 3000 cells per hour after the chemical was applied. Strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. When will the strains have the same number of cells?
A group of scientists studied the effect of a chemical on various strains
of bacteria. Strain A started with 12000 cells and decreased at a constant rate of
3000 cells per hour after the chemical was applied. Strain B started with 4000 cells
and decreased at a constant rate of 2000 cells per hour after the chemical was
applied. When will the strains have the same number of cells? Explain.
To determine when the strains will have the same number of cells, first write and solve a system of two linear equations.
The solution to the system of linear equations is
(Type an ordered pair, but do not use commas in any individual coordinates.)
Transcribed Image Text:A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A started with 12000 cells and decreased at a constant rate of 3000 cells per hour after the chemical was applied. Strain B started with 4000 cells and decreased at a constant rate of 2000 cells per hour after the chemical was applied. When will the strains have the same number of cells? Explain. To determine when the strains will have the same number of cells, first write and solve a system of two linear equations. The solution to the system of linear equations is (Type an ordered pair, but do not use commas in any individual coordinates.)
Expert Solution
Step 1

Linear equations

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University