Problem

The population (in millions of people) of Massachusetts from the year 2000 to the year 201...

The population (in millions of people) of Massachusetts from the year 2000 to the year 2010 can be approximated by the function f(x) = .019x + 6.36. Similarly, the population (in millions of people) of Arizona can be approximated by the function g(x) = .130x + 5.15. For both of these models, let x = 0 correspond to the year 2000.

(a) Graph both functions on the same coordinate axes for x = 0 to x = 10.


(b) Do the graphs intersect in this window?


(c) If trends continue at the same rate, will Arizona overtake Massachusetts in population? If so, estimate what year that will occur.

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