Answer parts a through c based on a study showing that late in the semester, procrastinating students reported more symptoms of physical illness than theirnonprocrastinating peers.a. At the beginning of the semester, procrastinators reported an average of 2.75 symptoms, increasing at a rate of 0.35 symptoms per week. Write a function thatmodels the average number of symptoms after x weeks.y= 2.75 +0.35x(Use integers or decimals for any numbers in the expression.)b. At the beginning of the semester, nonprocrastinators reported an average of 3.75 symptoms, increasing at a rate of 0.15 symptoms per week. Write a function thatmodels the average number of symptoms after x weeks.y= 3.75 +0.15x(Use integers or decimals for any numbers in the expression.)c. By which week in the semester did both groups report the same number of symptoms of physical illness? For that week, how many symptoms were reported byeach group?By week in the semester both groups reported the same number of symptoms of physical illness. Each group reported symptoms.