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Questions and Answers
What is the slope and the y-intercept of the function describing Ruthie's car repair?
What is f(-3) if f(x) = 11 − 6 (x − 8)?
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Which statement compares the growth of Greg and Alan's companies?
What is the most appropriate domain for the function C(w) representing the cost of a package of beef weighing w pounds?
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Which interval represents John constantly moving closer to home based on his distance from home?
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After how many weeks will Enrique have $196 in his savings account if he starts with $40 and deposits $6 weekly?
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Which graph would match the situation of a car traveling at 26 mph, accelerating to 42 mph in 5 seconds, maintaining speed for 5 seconds, and then slowing to a stop?
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Study Notes
Car Repair Charges
- The slope of the function is $50 per hour, indicating that labor charges increase by $50 for each hour of repair.
- The y-intercept is $75, representing a fixed fee, likely for initial diagnostics or parts prior to labor.
Evaluating Function f(x)
- For the function f(x) = 11 − 6(x − 8), calculating f(−3) leads to a specific numerical result.
Company Employee Growth
- Greg's employee equation: E = 18n + 5 shows an increase of 18 employees per year.
- Alan's employee equation: E = 22n + 10 indicates a growth of 22 employees yearly.
- Alan's company shows faster growth compared to Greg's.
Grocery Store Pricing Domain
- The costing function C(w) for beef depends on weight w.
- The most appropriate domain for this function is positive rational numbers, as weight must be greater than zero and can be a fraction.
Child's Distance from Home
- The graph of John's distance d(t) depicts how far he is from home over time.
- The interval when John is moving closer to home is critical for understanding his movement patterns.
Savings Account Growth
- Enrique starts with $40 and adds $6 weekly to his savings.
- To reach $196, calculations reveal the total number of weeks required to achieve this balance.
Graphing Situational Problems
- A scenario described involves a car accelerating, maintaining speed, then decelerating.
- Identifying the correct graph representation requires an understanding of how speed changes over time.
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Description
This assessment focuses on the concepts presented in Algebra CC, specifically for Unit 1. Students will encounter a variety of problems related to time and cost relationships, as well as basic algebraic principles. Prepare to demonstrate your understanding of the material covered in this unit.
