Writing Linear Equations for Real World Scenarios
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Catherine Hanley
Used 30+ times
FREE Resource
13 Slides • 7 Questions
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Writing Linear Equations for Real World Scenarios
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Goals of lesson
Identify rates of change and one-time/beginning values in a scenario
Write linear equations to represent real world scenarios
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In order to write an expression or equation to represent a situation, you must consider the following:
The value that can happen multiple times is the rate of change
The one time or beginning value happens only once
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Let's look at the values to practice identifying those that happen only once (or beginning value) and those that can happen more enough (rate of change)
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Keep in mind that there does not have to be a one-time/beginning value!
Also, a little hint: "per" is a keyword indicating multiplication
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Multiple Choice
A car salesperson earns $300 per week and $50 for each car sold that week.
True or false:
The number of cars sold that week affects (changes) the salesperson's weekly pay
True
Falso
10
Multiple Choice
A car salesperson earns $300 per week and $50 for each car sold that week.
What is the value associated with the change?
300
50
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Multiple Choice
A car salesperson earns $300 per week and $50 for each car sold that week.
Is there a one-time value associated with the weekly pay?
Yes
No
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Multiple Choice
A car salesperson earns $300 per week and $50 for each car sold that week
What is the one-time value associated with the weekly pay?
300
50
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Practice Time!
Identifying Rates of Change and One-time/Beginning Values Partner Match Up
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Writing and Solving Equations to Model and Solve Real Scenarios
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1. Read the problem at least twice.
- first, to understand the situation and identify the question
- next, to identify the important information (highlight, underline or list)
2. What are your variables?
3. Write the equation to model the problem
- you may want to write this out in words first
4. Solve the equation
*** Write your final answer in sentence form ***
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To write an expression (needed for the equation) use the form: mx + b
m is the value for the rate of change
b is the one time or beginning value
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Example: Scoots Inc. charges $20 to rent a moped for the day and $0.50 per mile driven
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Multiple Choice
Scoots Inc. charges $20 to rent a moped for the day and $0.50 per mile driven
What is the b (one-time/beginning value)?
20
0.50
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Multiple Choice
Scoots Inc. charges $20 to rent a moped for the day and $0.50 per mile driven
What is the rate of change (can happen more than once)?
20
0.50
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Multiple Choice
Scoots Inc. charges $20 to rent a moped for the day and $0.50 per mile driven
What is the expression that represents the cost of the rental?
y = 20x + 0.50
y = 0.50x + 20
Writing Linear Equations for Real World Scenarios
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