How do I solve this The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 16,600.(a) Find a function that models the population \( t \) years after 2000 (\( t = 0 \) for 2000).Your answer is \( P(t) = \) [Text Box](b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)[Text Box] ### Graph Analysis and Matching Activity#### DescriptionThe image presents a set of five exponential graphs, each labeled with a unique color and letter:- **K** (Black)- **G** (Green)- **O** (Orange)- **B** (Blue)- **R** (Red)Each graph represents a different exponential function, varying by base and coefficient.#### ActivityMatch each given exponential equation to one of the graphs displayed above. The equations to match are:1. \( 4(1.2)^x \)2. \( 2(0.75)^x \)3. \( 2(1.42)^x \)4. \( 2(0.82)^x \)5. \( 2(1.2)^x \)#### Graph Matching Options- **a.** Orange (O)- **b.** Blue (B)- **c.** Red (R)- **d.** Green (G)- **e.** Black (K)Analyze the behavior of each graph (growth or decay) and the steepness to determine the correct match for each equation.

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The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 16600. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)