Understanding Word Problems: Linear Models
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Beginner
Start here! Easy to understand
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Beginner Explanation
In many situations, two quantities change at a constant rate. A linear model uses $y = mx + b$ to show that relationship: $m$ is the rate (slope) and $b$ is the starting amount (intercept).
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If Elaine's electric company charges her $0.11$ per kWh and a basic charge of $15$, what is the linear equation, where x is the number of kilowatt-hours used and y is the total cost?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
A teenager earns a weekly allowance of $5$ dollars and makes extra money mowing lawns at $10$ dollars per lawn. Let x be the number of lawns mowed and y be the total earnings. Write the linear model.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Consider a scenario where the cost of a phone plan is $25$ dollars plus $0.05$ per text. Let x be the number of texts sent and y be the total cost. Model this.
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4
Challenge Quiz
Single Choice Quiz
Advanced
A car rental company charges a base fee of $30$ dollars and $0.20$ dollars per mile. Which equation represents this, where x is the number of miles driven and y is the total cost?
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