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Concept Test

Concept Test. A jogger runs away from campus at a steady rate, stops to talk to some friends, runs away from campus for a little longer, and then returns to campus. Which graph below could show the jogger’s distance as a function of time?. Concept Test.

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Concept Test

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  1. Concept Test A jogger runs away from campus at a steady rate, stops to talk to some friends, runs away from campus for a little longer, and then returns to campus. Which graph below could show the jogger’s distance as a function of time?

  2. Concept Test Suppose the average rate of change of jobs in Caddo Parish with respect to time is 10,000 jobs/year for the period from 1995 to 2005. Which statement is most accurate? • Each year, the number of jobs increased by 10,000. • The number of jobs never decreased. • Both A) and B) • Neither A) nor B)

  3. Concept Test: Which slope is largest?

  4. Concept Test Given the graph on the right of y = f(x), which of the below numbers is most positive? A: f(2) – f(0) B: the average rate of change of f from x = 0 to x = 2 C: the average rate of change from x = -2 to x = 0

  5. Concept Test All four linear functions below are graphed on the right. Which one is the red line? A: y = 4 + x B: y = 4 – 2x C: y = 2 – 2x D: y = 2 – 4x

  6. Interpretation • Three cars have the following functions that give the total cost of ownership as a function of the number of miles traveled: • Car A: y = 15,000 + .14 n • Car B: y = 28,000 + .20 n • Car C: y = 22,000 + .09 n • Which car was most expensive to purchase? • Which car is the cheapest to operate per mile? • After 60,000 miles, which car has had the lowest cost of ownership?

  7. Concept Test (Multiple answers possible) Which of the below tables shows a linear function? D: None of the above

  8. Concept Test • For which functions is y not directly proportional to x? • For which functions is y not a linear function of x?

  9. Concept Test You have been offered three different jobs: job R has a base salary of $55,000 with annual raises of $2000, job S has a base salary of $45,000 with annual raises of $3200, and job T has a base salary of $48,000 with annual raises of $2000. Assuming you will be working at this job for many years, how should you rank the jobs according to the income you will receive? A) R, S, T B) S, R, T C) R, T, S D) None of the above

  10. Concept Test Given two linear equations, how many solutions can the system have? A) Exactly one solution or no solution B) Exactly one solution or infinitely many solutions C) Exactly one solution, no solutions, or infinitely many solutions D) Any number of solutions

  11. Concept Test The graph on the right shows three different tax systems as a function of income. Which represents a progressive tax (that is, where richer people pay a higher percentage of their income on taxes)?

  12. Concept Test Which statement below is correct? A: (-3x2)3 = -3(x2)3 = -3x6 B: (-3x2)3 = -(3x2)3 = -27x6 C: (-3x2)3 = (-3)3(x2)3 = -27x5 D: None of the above

  13. Concept Test On your logarithmic scale of time, where does 500 years ago fit? A: closer to the 102 mark than to the 103 mark B: closer to the 103 mark than to the 102 mark C: exactly between the 102 and the 103 mark

  14. Concept Test Which of the following is true? A: f(x) is exponential and g(x) is linear B: f(x) is neither linear or exponential C: g(x) is neither linear or exponential D: f(x) is linear and g(x) is exponential

  15. Concept Test A population of bacteria is described by y = 200(2.75)t where t is measured in days. Which statement is correct? A: The population is growing at 75% per day. B: The population is growing at 275% per day. C: The population is growing at 175% per hour. D: None of the above.

  16. Concept Test If all functions below are graphed, which graph is the blue graph? • y = 200(.5)x • y = 200(1.1)x • y = 100(1.5)x • y = 200(.2)x

  17. Concept Test Which of the below functions has a half life of 8 days? (In all functions, t measures days.) A: y = 100(1/8)t B: y = 25(8)t C: y = 30(1/2)t/8 D: y = 8(1/2)8t

  18. Concept Test What will the half-life be for the equation y = 50(.5)4t where t is measured in days? • .25 days • 4 days • 50 days • None of the above

  19. Concept Test If you know that log a is about .301, which of the following statements is true? A: log(100a) is about 2.301 B: log(a2) is about .090601 C: Both A and B are true D: Neither A nor B are true

  20. Concept Test Suppose you know that ln(a) equals .25. What can you say about ln(ae4)? A: It equals 4.25. B: It equals .25 + e4 C: It equals .254. D: None of the above.

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