Question

The function f(x) = 2450(1.06)^x represents the population of Waterville x years after 2010. The table represents the population of desert town for
different years, both populations grew expoentially.

year | 2010 2011 2012 2015 2016 2018
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population| 2700 2781 2864 3130 3224 3240

(a) In 2010 how many more people lived in desert town than Waterville? Explain.

(b) Find and compare growth rates of each population. Show your work.

(c) When does waterville's population exceed Desert Town's population? Explain.

Edit: I got A but pleeeease help with B? I have no clue to find growth rates! I think I could get C on my own if someone just answers B.

Answer 1

Well, you can find the growth of desert town, by using regression. This is done by a program, like Geogebra. When I insert the data and use two variable analysis, I get a function: \[y=2722.695*1.0251^x\]