Algebra CC: Unit 1 Assessment

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Questions and Answers

What is the slope and the y-intercept of the function describing Ruthie's car repair?

  • The slope of the function is 50, which means that the labor charge is $50 for each hour it takes to repair Ruthie's car. The y-intercept is 75. (correct)
  • The slope of the function is 50, which means that the labor takes 50 hours to repair Ruthie's car. The y-intercept is 75.
  • The slope of the function is 75, which means that the labor takes 75 hours to repair Ruthie's car. The y-intercept is 50.
  • The slope of the function is 75, which means that the labor charge is $75 for each hour it takes to repair Ruthie's car. The y-intercept is 50.

What is f(-3) if f(x) = 11 − 6 (x − 8)?

41

Which statement compares the growth of Greg and Alan's companies?

  • Greg’s company grew at a rate of 5 new employees per year, and Alan’s company grew at a rate of 10 new employees per year.
  • Greg’s company grew at a rate of 18 new employees per year, and Alan’s company grew at a rate of 22 new employees per year. (correct)
  • Greg’s company grew at a rate of 18% more new employees per year, and Alan’s company grew at a rate of 22% more new employees per year.
  • Greg’s company grew at a rate of 5% more new employees per year, and Alan’s company grew at a rate of 10% more new employees per year.

What is the most appropriate domain for the function C(w) representing the cost of a package of beef weighing w pounds?

<p>positive rational numbers (A)</p> Signup and view all the answers

Which interval represents John constantly moving closer to home based on his distance from home?

<p>2 ≤ t ≤ 3 (B)</p> Signup and view all the answers

After how many weeks will Enrique have $196 in his savings account if he starts with $40 and deposits $6 weekly?

<p>26 weeks</p> Signup and view all the answers

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?

<p>Graph A (D)</p> Signup and view all the answers

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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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