(Solved):   Hi I am mainly interested in the answers to C and D.  Thank you 2. (12 pts) The ave ...

 

Hi I am mainly interested in the answers to C and D. 

Thank you

2. (12 pts) The average price of a gallon of gasoline in the U.S. every 4 weeks starting on Jan 1, 2021 is recorded in the data table below. \( x=0 \) corresponds to Jan 1, 2021. (a) Fill in the table below with the AROC of the price of gasoline over the given intervals of time. Include units with each value. Do not round any values. (b) What is a good approximation for the ROC at 12 weeks? Include units. (c) At what time is the price of gasoline increasing at the greatest rate? Give the best approximate \( x \)-value, not an interval. Include units. (d) When does the price of gasoline have an inflection point? Give the best approximate \( x \)-value, not an interval. Include units.