Question

A)Create a model using function notation that represents how the two quantities, cups and cost, are related.

Answer 1

cost is a function of cups,
the greater the number of cups, the greater the cost

Answer 2

is d just an equation then?

Answer 3

zero cups should cost zero dollars

Answer 4

but the chart says 0 cost $7

Answer 5

what a rip off,

Answer 6

i did questions a b and c already just need help on d and e

Answer 7

i know right

Answer 8

i guess we can still make an equation for it

Answer 9

thank you:) i am new to this site lol but at the end ill give u a medal but idk how

Answer 10

a straight line has the form
\[y(x) =mx+b\]

where \(y\) is the dependent variable
and \(x\) is the independent variable

\(m\) is the slope of the line
and \(b\) is the y-intercept

Answer 11

yes:)

Answer 12

y is like the cost
and x is like the number of cups

Answer 13

that makes sense :)

Answer 14

b is like the cost of zero cups (i suppose this must be 7$ if you are reading the chart right )

Answer 15

yes that's correct

Answer 16

what is the cost of one cup?

Answer 17

it goes from zero to 500 on the chart

Answer 18

oh, what do 500 cups cost?

Answer 19

A)Create a model using function notation that represents how the two quantities, cups and cost, are related. i just need to somehow do this

Answer 20

500 costs $25.50

Answer 21

then the chart shows 1,000 1,500 2,000 2,500 and 3,000

Answer 22

does the cost go up the same amount each time?

Answer 23

@BritBratt13 d and e are D)Create a model using function notation that represents how the two quantities, cups and cost, are related e) A)The coffee shop found another delivery company that sells orders at increments of 500 cups, Coffee Delivery B. They charge $3.50 each week to be on their delivery route and charge 3.9 cents per disposable cup. 

Answer 24

um im not sure if it does

Answer 25

after 25.50 its 44 then 62.50 then 81 then 99.50 and then 118

Answer 26

so like this?

cups | 500 | 1,000 | 1,500 | 2,000 | 2,500 | 3,000
-----|------|------ |-------|------ |------ |------
cost | 25.50 | 44 | 62.50 | 81 | 99.50 | 118

Answer 27

yes!

Answer 28

)Create a model using function notation that represents how the two quantities, cups and cost, are related.

Answer 29

thats what i have to answer

Answer 30

well i think the cost IS going up by the same amount each time

Answer 31

yea i think so too

Answer 32

im just confused on how to do the problem they want me to answer

Answer 33

one way to work out the slope is \[m=\frac{y_2-y_1}{x_2-x_1}\]


where \((x_1,y_1)\) and \((x_2,y_2)\) are pairs of data from the table

Answer 34

is that a function notation?

Answer 35

i think our goal is something like

\[y(x)=mx+b\]

Answer 36

yes but now we just need to put in the numbers riight?

Answer 37

they wanna now how cups and cost are related by using a function notation

Answer 38

know*

Answer 39

yeh , you can choose say
\[(x_1,_y_1)=(1000, 44)\]

and \[(x_2,_y_2)=(2000, 81)\]

Answer 40

is that how they are related in function notation?

Answer 41

it makes sense tho :)

Answer 42

can i post the last part of the question part e

Answer 43

The coffee shop found another delivery company that sells orders at increments of 500 cups, Coffee Delivery B. They charge $3.50 each week to be on their delivery route and charge 3.9 cents per disposable cup. 
Make a function using the information about the second delivery company.
Using a different color to add to the graph sketched in Part C, graph the price the coffee shop would pay for Coffee Delivery B to deliver the same amount of cups.
If the coffee shop can change delivery companies every three months, when should they consider Coffee Delivery A, and when should they consider Coffee Delivery B?

Answer 44

for part e)

$3.50 is like the initial cost \(b\)
and
3.9 cents per disposable cup is the like \(m\)

Answer 45

yes:) i agree

Answer 46

once you have your two equations ,
find when they give the same cost for the same number of cups,

below this point one of the companies will be better values, above this the other company will be

Answer 47

is that the graph they are asking for ?

Answer 48

how do i make the function for this one?

Answer 49

it might be something like that

you are given the values of \(m\) and \(b\)

Answer 50

yes so to make this function i put in those numbers?

Answer 51

yep

Answer 52

how would i do that?

Answer 53

i need help

Answer 54

@UnkleRhaukus