Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Equations
1:43 minutes
Problem 32b
Textbook Question
Textbook QuestionA repair bill on a sailboat came to $2356, including $826 for parts and the remainder for labor. If the cost of labor is $90 per hour, how many hours of labor did it take to repair the sailboat?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Total Cost Calculation
To find the total cost of a service or product, you sum all individual costs. In this case, the total repair bill of $2356 includes both parts and labor. Understanding how to isolate these components is crucial for solving the problem.
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Subtraction for Remainder
To determine the cost of labor, you need to subtract the cost of parts from the total bill. This operation helps identify how much of the total cost is attributed to labor, which is essential for calculating the number of hours worked.
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Unit Rate and Division
The cost of labor is given as a rate of $90 per hour. To find the total hours worked, you divide the total labor cost by the hourly rate. This concept of unit rate is fundamental in converting total costs into quantities, such as hours in this scenario.
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