Question

please someone help. I will fan and medal!!

Answer 1

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.
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.


Price for Bracelet is $100, each charm is $12.

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.
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 needs to convert the flour from cups to grams. She knows that 0.5 cup of flour has a mass of 64 grams and 2 cups of flour has a mass of 256 grams.

A.Write a function that shows grams as a function of cups. Use g(x).
B.Given this scenario, determine a reasonable domain for this function.
C.Graph the relationship between the number of cups and grams of flour.
D.Evaluate g(x) for any value of x within the domain. Interpret the meaning of your solution in the context of this problem.
E.Look at the method you used to evaluate your function in part D. Explain another way you can evaluate the function for the same input.
F.Interpret what it means to have g(-2), and determine if this is reasonable given the situation.

3.
A coffee shop pays Coffee Delivery Company A, a certain price for each disposable cup it orders plus a weekly delivery charge to remain on the driver’s delivery route. The cups are purchased in increments of 500. To quickly determine how much the coffee shop will be spending on cups before their arrival, the owner created the following table:




all this really confuses me!!

Answer 2

I only want help for number 1 right now

Answer 3

Milena - first one, from what I got together on information, it's C.

Answer 4

uhm its not multiple choice. those are the different parts for number 1

Answer 5

the only useful information for creating function is :

`In Store A, the bracelet without charms costs $85 and each charm costs $15.`

Answer 6

read the part A question and try to figure out what exactly it is asking us :

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.

Answer 7

so can I choose myself how many charms. the function notation would be f(x)=15x+85

Answer 8

Perfect ! next, just explain how you got that function and why u think that works in your own words :)

Answer 9

oh ok so the 85 would be what it would cost without any charms. so they start with 85. on a graph that would also indicate the y-intercept. and the 15x would be $15 per charm. which on a graph the 15 would indicate the slope of 15/1. right?

Answer 10

@ganeshie8

Answer 11

looks good ^^

Answer 12

what do you think about part B ?

B.What would be a reasonable domain for this function based on this scenario? Explain why this is a proper domain.

Answer 13

do they mean the x??? that is unknown??

Answer 14

yes, domain is all the possible `x` values,
here `x` represents "number of charms", right ?

Answer 15

f(x)=15x+85

x : number of charms
f(x) : total cost

Answer 16

so what values x can take ?
can you buy "-10" charms ?

Answer 17

how about buying "1.33333" or \(\large \pi\) charms ?

Answer 18

yes. should I try to find an average by doing f(b)-f(a)/b-a?
uhm tht wouldn't work because it is irrational and u cant by 1.3333 or pi charms

Answer 19

and u cannot buy -10

Answer 20

it has to be a whole positive number

Answer 21

actually it could be -10 if they already owed money but it doesn't say anything like that. so we can cross -10 and any other - number out

Answer 22

but can u show me how I find the best domain?

Answer 23

i see you know a lot about functions already :)

Answer 24

well I studied yesterday a lot with a friends dad

Answer 25

definitely you don't want to buy more than 20 charms, so lets just say the best domain is : 0 to 20

Answer 26

most importantly all are whole numbers : {0,1,2....19,20}

Answer 27

also I guess I have to use common sense: they are 3 kids ( marco and his 2 younger sisters) which would mean they don't have an unlimited amount of money. they have a specific amount. lets say they have $200 dollars saved up they could only buy 7 charms. we would have to use realistic numbers. so I think I should go with 0-10

Answer 28

just because we don't know the amount of money

Answer 29

looks much better to me !

Answer 30

ok thank you with this. with part c I know what to do. I have to make the graph showing how many charms they can buy with $250. and part b I know what to do too. so we are down with this. thanks a lot!!!

Answer 31

i mean d not b

Answer 32

sounds good :)