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Common Core Standard HSF-LE.B.5 Questions

Interpret the parameters in a linear or exponential function in terms of a context.

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Grade 9 Functions and Relations CCSS: HSF-LE.B.5
Kyle is an avid bird watcher, and is trying to spot some of the more rare birds in his area. He has already seen 8. However, it has taken 8 months to spot these birds. Kyle's friend is also a bird watcher, and says he typically sees 4 rare birds a month in a large forest outside the town. If Kyle decides to try looking for birds at the forest outside of town, is the linear function B(m)=2+4m correct in predicting the total number of rare birds, B, he will have seen in m months time? If not, why not?
  1. Yes, this function is correct.
  2. No. Kyle has already seen 8 birds, so the constant term should be 8, not 2.
  3. No, since the rate at which Kyle sees birds is incorrect. He has seen 8 birds over 8 months. This means the coefficient of m should be 1, not 4.
  4. No, the equation should be B(m)=4+2m, since 4 represents the number of birds already seen (divided by 2 to account for the 2 sites, the park and the forest), and 2 rare birds per month is the rate at which he will probably see more rare birds.
Grade 9 Nonlinear Equations and Functions CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.B.5
In the year 2000, the population of Virginia was about 7,400,000. Between the years 2000 and 2004, the population in Virginia grew at a rate of 5.4%. At this growth rate, what function gives the population x years after 2000?
  1. f(x)=7,400,000(1+.054)x
  2. f(x)=7,400,000(1-.054)x
  3. f(x)=7,400,000(.054)x
  4. f(x)=7,400,000x.054
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