Page 1: Jan 17-7:15 AMPage 2: Jan 17-7:48 AMPage 3: Nov 4-2:16 PMPage 4: Nov 4-2:21 PMAim #41 : How can we use piecewise functions to solve word problems?Homework : HandoutDo Now : Evaluate the following using the given piecewise function.f(1) = f (-5) = f(3) = f(-4) =If you earned up to $113,700 in 2013 from an employer, your Social Security tax rate was 6.2% of your income. If you earned over $113,700, you pay a fixed amount of $7,049.40.a. Write a piecewise linear function to represent the Social Security taxes for incomes between $0 and $500,000.b. How much Social Security tax would someone who made $50,000 owe?c. How much money would you have made if you paid $4000 in social security tax in 2013.d. What is the meaning of f(150,000)? What is the value?During a snowstorm, a meteorologist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-half inch per hour for the next four hours.a. Create a graph of the situation.d. Write a piecewise defined function that models the depth of the snow as a function of time.b. When will the depth of the snow be 4 inches?c. How much snow will there be on the ground after 4 hours?Your favorite dog groomer charges according to your dog‛s weight. If your dog is 15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds, including 40 lbs, she charges $40. If your dog is over 40 pounds, she charges $40, plus an additional $2 for each pound over 40 lbs.a. Write a piecewise function that describes what your dog groomer charges.b. Graph the function.c. What would the groomer charge if your bulldog weighs 60 pounds?d. What would your dog weigh if she charged $190?You plan to sell Bazinga! t-shirts as a fundraiser. The wholesale t-shirt company charges you $10 a shirt for the first 75 shirts. After the first 75 shirts you purchase up to 150 shirts, the company will lower its price to $7.50 per shirt. After you purchase 150 shirts, the price will decrease to $5 per shirt. Write a piece-wise function that models this situation. How much would 220 shirts cost?If the total cost was $2062.50, how many shirts were purchased?Sum It Up!!When writing piecewise functions from a word problem, not only must we create equations but also identify domain