Question

The percent of the air-borne particles in a room that a Climatec furnace filter can remove is approximated by the linear function $p(m)=\frac{6}{5} m$ where $m$ is the time in minutes that the furnace has been operating. Use an inequality to determine the time after which at least $60 \%$ of the air-borne particles in the room will have been removed. (Source: climatec.com)

Name: Problem 91, Chapter 4: Intermediate Algebra
Uploaded: 2024-08-01T12:13:42-08:00
Duration: 3 min 5 s
Channel: Narayan Hari
Description: The percent of the air-borne particles in a room that a Climatec furnace filter can remove is approximated by the linear function p(m)=(6)/(5) m where m is the time in minutes that the furnace has been operating. Use an inequality to determine the time after which at least 60 % of the air-borne particles in the room will have been removed. (Source: climatec.com)

   The percent of the air-borne particles in a room that a Climatec furnace filter can remove is approximated by the linear function $p(m)=\frac{6}{5} m$ where $m$ is the time in minutes that the furnace has been operating. Use an inequality to determine the time after which at least $60 \%$ of the air-borne particles in the room will have been removed. (Source: climatec.com)

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 4, Problem 91

Instant Answer

Solved by Expert Narayan Hari

08/01/2024

Step 1

The function given is $ p(m) = \frac{6}{5}m $, where $ p(m) $ represents the percentage of air-borne particles removed by the furnace filter after $ m $ minutes of operation. The coefficient $\frac{6}{5}$ indicates the rate at which particles are being Show more…

Show all steps

Thanks for your feedback!

The percent of the air-borne particles in a room that a Climatec furnace filter can remove is approximated by the linear function $p(m)=\frac{6}{5} m$ where $m$ is the time in minutes that the furnace has been operating. Use an inequality to determine the time after which at least $60 \%$ of the air-borne particles in the room will have been removed. (Source: climatec.com)

Play audio

Feedback

Narayan Hari and 95 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Functions

Linear functions describe a direct, proportional relationship between two variables, typically expressed as y = mx + b. In many practical applications, such relationships allow for predicting the behavior of a system over time by understanding a constant rate of change.

Solving Linear Inequalities

Solving linear inequalities involves determining the set of values for a variable that satisfy an inequality condition. This technique is essential for establishing thresholds or minimum requirements in problems, ensuring that certain criteria, like performance or efficiency levels, are met.

Mathematical Modeling

Mathematical modeling uses functions and equations to represent real-world scenarios. By constructing models that simulate processes, such as the removal of particles over time, one can analyze and make decisions based on the predicted behavior of complex systems.

Please give Ace some feedback