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Direct Variation: Hourly Earnings Model

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

Course: Algebra Book: Algebra 1 · Big Ideas Math · Ron Larson Chapter: Chapter 3-

Question

Question:
A worker earns 14 dollars and 50 cents per hour. Write a direct variation equation where earnings, e, vary directly with hours worked, h. If the worker needs to earn 232 dollars, how many hours must they work? Show your work and verify your answer.

Direct Variation: Hourly Earnings Model

This lesson introduces direct variation equations of the form e = k·h, where k is the constant of variation (unit rate). Students write a direct variation equation from a given rate, solve for an unknown quantity, verify the solution, and interpret the relationship graphically.

In this lesson, you will learn to:
• Write a direct variation equation by identifying the constant of variation from a unit rate.
• Solve a direct variation equation for an unknown variable using division.
• Verify a solution by substituting it back into the original equation.
• Interpret the graph of a direct variati

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