Question

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:
Cups Ordered Price
0 $7
500 $25.50
1,000 $44
1,500 $62.50
2,000 $81
2,500 $99.50
3,000 $118

Answer 1

A. The price of the cups, p(x), is a function of the number of x cups ordered. Using the table, determine the average rate of change for the first 1,000 cups ordered and then for all 3,000 cups ordered. What does this tell you about the function?
B. Use the table to evaluate and interpret p(0). What is a possible explanation for this?
C. Sketch a graph, labeling its key features, to show the price the coffee shop would pay Coffee Delivery A to have between 0 and 3,000 cups delivered each week.
D. Create a model using function notation that represents how the two quantities, cups and cost, are related.
E. 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.

Answer 2

hey sourwing, how was ur day so far?

Answer 3

can you help?

Answer 4

@UnkleRhaukus can you help?

Answer 5

what is the change in cost / change in number of cups
between 0 and 1000 cups?

Answer 6

18.50 per 500 cups @UnkleRhaukus

Answer 7

i know that much, its the other stuff i need help with

Answer 8

0 $7
500 $25.50
1,000 $44
... ...

change in cost = $44 - $7

change in number of cups = 1,000 - 0


change in cost / change in number of cups = ($44 - $7) / (,1000 - 0)

Answer 9

well, yea 37

Answer 10

$37 / 1000

Answer 11

yea

Answer 12

Now
what is the change in cost / change in number of cups
between 0 and 3000 cups?

Answer 13

well, 37 times 2= 74

Answer 14

74+37=111

Answer 15

Cups Price
0 $7
... ...
3,000 $118

Answer 16

crud, forgot the 7

Answer 17

i need help with b

Answer 18

Price is a function of the number of a cups,
P(0) is the price of zero cups

Answer 19

ohh ok

Answer 20

@UnkleRhaukus what about c, d, and e?

Answer 21

plot the points on a graph

Answer 22

i can't do the graph anyways because Microsoft document is retrarded @UnkleRhaukus

Answer 23

use pencil and paper, or use microsoft excel

Answer 24

ok

Answer 25

ok now what