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Stitz-Zeager_College_Algebra_e-book

# 4 ellipses 425 now that this equation is in the

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Unformatted text preview: n fact, the Gateway x x e 127.7 + e− 127.7 where x and Arch in St. Louis, Missouri has the shape y = 757.7 − 127.7 2 y are measured in feet and −315 ≤ x ≤ 315. What is the highest point on the arch? 14. In Exercise 4a in Section 2.5, we examined the data set given below which showed how two cats and their surviving oﬀspring can produce over 80 million cats in just ten years. It is virtually impossible to see this data plotted on your calculator, so plot x versus ln(x) as was done on page 389. Find a linear model for this new data and comment on its goodness of ﬁt. Find an exponential model for the original data and comment on its goodness of ﬁt. Year x Number of Cats N (x) 1 2 3 4 5 6 7 8 9 10 12 66 382 2201 12680 73041 420715 2423316 13968290 80399780 15. According to this website, the number of active users of Facebook has grown signiﬁcantly since its initial launch from a Harvard dorm room in February 2004. The chart below has the approximate number U (x) of active users, in millions, x months after February 2004. For example, the ﬁrst entry (1...
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