$(2\mathrm{.}25$ points$)$ The table below shows prices for fruit that the typical college student purchased from $2011$ to $2014.$ Use the table to answer parts A through $C$ below.

Items, quantities, and prices for fruit purchases

$\backslash$table$[[$Items$,$Qty$,\backslash$table$[[(2011)],[$Price$]],\backslash$table$[[(2011)],[$Amount$],[$Spent$]],\backslash$table$[[(2012)],[$Price$]],\backslash$table$[[(2012)],[$Amount$],[$Spent$]],\backslash$table$[[(2013)],[$Price$]],\backslash$table$[[(2013)],[$Amount$],[$Spent$]],(2014),\backslash$table$[[(2014)],[$Amount$],[$Spent$]]],[$Apples$,4,$$$0\mathrm{.}25,,$$$0\mathrm{.}35,,$$$0\mathrm{.}65,,$$$0\mathrm{.}70,],[$Bananas$,10,$$$0\mathrm{.}20,,$$$0\mathrm{.}30,,$$$0\mathrm{.}30,,$$$0\mathrm{.}50,],[$Grapes$,4,$$$0\mathrm{.}80,,$$$0\mathrm{.}80,,$$$0\mathrm{.}85,,$$$0\mathrm{.}85,],[$Raspberries$,2,$$$0\mathrm{.}10,,$$$0\mathrm{.}15,,$$$0\mathrm{.}16,,$$$0\mathrm{.}17,],[$Total$,---,---,,---,,---,,---,]]$

A$.$ Fill in the missing values in the table by calculating the amounts spent each year on the different types that make up the "basket" of fruit based on the quantities shown in the second column. Then calculate the total spent in each year and fill in your answers in the final row of the table.

B$.$ Construct the price index for the "fruit basket" in each year, using $2011$ as the base year. Fill your index values into the table below.

Price index, by year, $2011$ to $2014$

$\backslash$table$[[2011,2012,2013,2014],[,,,]]$

C$.$ Using the information you found, what is the inflation rate over the period of time beginning in $2011$ and ending in $2014?($Note$,$ do not calculate, the year$-$to$-$year inflation rate. Instead, calculate the inflation rate over the entire period starting with $2011$ and ending with $2014.)$