The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store YearThousand Dollars200438.83200553.63200663.9200772.19200868(a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate? no concavitiesa single concavity with no change in directiona single concavity with a change in directiontwo concavities with no change in direction (b) Align the input so that t =0 in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from 4 t 8.(Round all numerical values to three decimal places.) s(t)=(c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. $ per year (d) Interpret the answer to part (c). In 2007, the average weekly sales for the clothing store were ---Select--- increasing decreasing by $ per year.