Functions and Relations Question
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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?
- Yes, this function is correct.
- No. Kyle has already seen 8 birds, so the constant term should be 8, not 2.
- 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.
- 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.