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.

According to our guidelines, In case of multiple questions we are supposed to answer the first question, Thanks.

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)