Linear models are a part of everyday life, but many times they are not easily visible. They can be easily related to our life experiences. Read each of the three scenarios below to see how linear models show up in our lives and how we can use them to make decisions. Answer the related questions.
1. Marco and his two younger sisters would like to purchase a silver charm bracelet for their mother’s birthday. They went to the mall and found what they were looking for at Store A. In Store A, the bracelet without charms costs $85 and each charm costs $15.
A. Use function notation that models the total price of the bracelet and how that price is based on the number of charms. Explain the reasoning behind your equation.
15W=85 IN ORDER TO FIND THE NUMBER OF CHARMS YOU NEED YOU HAVE TO DIVIDE.
B. What would be a reasonable domain for this function based on this scenario? Explain why this is a proper domain.
C. If Marco and his sisters have saved $250, make a graph to show all of the charms they could purchase with a bracelet if they had saved between $85 and $250.
D. Marco found five charms that he likes. Using your function, determine the cost of the bracelet he would make.
E. As they walked down the hall of the mall, Marco saw this sales flyer for Store B on a bench.
Marco is wondering from which store he should buy the items so that he spends the least amount of money. Which store should Marco use if he wanted the five charms and silver bracelet all together? What advice can you tell Marco to help him shop wisely depending on the number of charms he wants to buy? Justify how you reasoned your answers.
I Would see what the price of both of the things came up to and see which one is cheaper then I would buy the cheaper one.
2. While in the United States visiting her grandmother, Kendra copied the famous family apple pie recipe. When she returns to England, she plans on making the same apple pie for her friends. To do this, Kendra