Please further explain the topic of comparing linear rates.

the way I did it was just to manually compute the numbers without the equation. I put the two rates into a graph with a bar for each rate, a bar for elapsed time or distance, and a bar for how much time or distance I add. I then keep adding distance or time until I find the correct amount.

I am having a hard time solving "Comparing linear rates word problems" even though I have mastered the previous Units and Lessons. Any suggestions? Thank you.

Try to make a table. That's my biggest advice. Example of a question: So, let's say Company ABC makes 1 million dollars per year. Every year, it increases by 1 million. And let's also say company XYZ makes 5 million but increases by 50% yearly. What is the first year in which company XYZ makes more money? Solution: Create a table for both equations. This makes it much easier to look at. Company ABC: Year 1: 10 million Year 2: 11 million Year 3: 12 million Year 4: 13 million Company XYZ: Year 1: 5 million Year 2: 7.5 million Year 3: 11.25 million Year 4: 16.875 million As you can see year 4 would be the first year company XYZ makes more money. Let me know if you need more help.

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Algebra 1

Course: Algebra 1 > Unit 4

Lesson 6: Modeling with linear equations and inequalities

Linear equations & graphs: FAQ

Google Classroom

Frequently asked questions about linear equations & graphs

What is a two-variable linear equation?

A two-variable linear equation is an equation with two unknowns (usually represented by x and y) that can be graphed as a straight line on a coordinate plane.

Practice with our Solutions to 2-variable equations exercise.

What is slope?

Slope is a measure of the steepness of a line. We calculate it by dividing the change in y-values by the change in x-values between two points on a line.

Practice with our Slope from graph exercise.

Practice with our Slope in a table exercise.

Practice with our Slope from two points exercise.

What are horizontal and vertical lines?

Horizontal lines are lines that have a slope of 0, meaning they don't go up or down, while vertical lines have an undefined slope, meaning they don't go left or right.

Practice with our Horizontal & vertical lines exercise.

What are x-intercepts and y-intercepts?

The x-intercept is the point where a graph crosses the x-axis, while the y-intercept is the point where a graph crosses the y-axis.

Practice with our Intercepts from a graph exercise.

Practice with our Intercepts from an equation exercise.

What do mean by modeling with linear equations and inequalities?

Modeling with linear equations and inequalities means using those mathematical concepts to represent or explain real-world situations.

Practice with our Comparing linear rates word problems exercise.

Why do we need to learn about linear equations and graphs?

Linear equations and graphs come up all the time in mathematics, science, engineering, and business. They're one of the foundational skills for understanding algebra and more advanced math courses. Plus, they can be really useful for modeling real-world situations and solving problems.

Practice with our Relating linear contexts to graph features exercise.

Practice with our Graphing linear relationships word problems exercise.

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Success The Best💞
Posted 5 months ago. Direct link to Success The Best💞's post “Please further explain th...”
Please further explain the topic of comparing linear rates.
Button navigates to signup pageComment on Success The Best💞's post “Please further explain th...”
(18 votes)
Answer
- yalitt
  Posted 2 months ago. Direct link to yalitt's post “the way I did it was just...”
  the way I did it was just to manually compute the numbers without the equation. I put the two rates into a graph with a bar for each rate, a bar for elapsed time or distance, and a bar for how much time or distance I add. I then keep adding distance or time until I find the correct amount.
  Comment on yalitt's post “the way I did it was just...”
  (3 votes)
Mohammad Aman
Posted 4 months ago. Direct link to Mohammad Aman's post “I am having a hard time s...”
I am having a hard time solving "Comparing linear rates word problems" even though I have mastered the previous Units and Lessons. Any suggestions?
Thank you.
Button navigates to signup pageComment on Mohammad Aman's post “I am having a hard time s...”
(5 votes)
Answer
- MSTC_Grinding
  Posted 4 months ago. Direct link to MSTC_Grinding's post “Try to make a table. That...”
  Try to make a table. That's my biggest advice.
  
  Example of a question: So, let's say Company ABC makes 1 million dollars per year. Every year, it increases by 1 million. And let's also say company XYZ makes 5 million but increases by 50% yearly. What is the first year in which company XYZ makes more money?
  
  Solution:
  Create a table for both equations. This makes it much easier to look at.
  
  Company ABC:
  Year 1: 10 million
  Year 2: 11 million
  Year 3: 12 million
  Year 4: 13 million
  
  Company XYZ:
  Year 1: 5 million
  Year 2: 7.5 million
  Year 3: 11.25 million
  Year 4: 16.875 million
  
  As you can see year 4 would be the first year company XYZ makes more money.
  
  Let me know if you need more help.
  Comment on MSTC_Grinding's post “Try to make a table. That...”
  (12 votes)
Gina
Posted a month ago. Direct link to Gina's post “While I understand the id...”
While I understand the idea of economy of space, skipping steps while showing how the problems were worked isn't helpful. It can make the process more confusing.
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(6 votes)
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Philip
Posted 4 months ago. Direct link to Philip's post “what was life like during...”
what was life like during the blip?
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- yaegerjc
  Posted 3 months ago. Direct link to yaegerjc's post “Hard”
  Hard
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  (2 votes)
Amanda
Posted a month ago. Direct link to Amanda's post “i am struggling with comp...”
i am struggling with comparing liner rates even tho i have watch the video a lot of time. do you have any advice that might help me and help me remember?
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bsamayoagarcia
Posted 4 months ago. Direct link to bsamayoagarcia's post “ayuda”
ayuda
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- Mia Hsieh
  Posted 4 months ago. Direct link to Mia Hsieh's post “¿Qué equivocado?”
  ¿Qué equivocado?
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  (2 votes)
Pandaexpress123🐼
Posted a month ago. Direct link to Pandaexpress123🐼's post “I am seven parallel univ...”
I am seven parallel universes ahead of you guys, i am in THE FIRST GRADE.
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Rissie Pooh
Posted 2 days ago. Direct link to Rissie Pooh's post “The rate equations are a ...”
The rate equations are a pain
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(1 vote)
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panda
Posted 2 months ago. Direct link to panda's post “hey dudes”
hey dudes
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Agoshkov Samuel
Posted 3 months ago. Direct link to Agoshkov Samuel's post “ti hablo shpaish v obezya...”
ti hablo shpaish v obezyana state
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(1 vote)
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