At the beginning of 2000 Nick's house was worth 240 thousand dollars and Corey's house was worth 116 thousand dollars. At the beginning of 2003, Nick's house was worth 182 thousand dollars and Corey's house was worth 158 thousand dollars. Assume that the values of both houses vary at an exponential rate. a. Write a function f that determines the value of Nick's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. f(t) 240(.56)^t Preview b. Write a function g that determines the value of Corey's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. g(t) = 116(1.45)^t Preview c. How many years after the beginning of 2000 will Nick's and Corey's house have the same value?

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