Question

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?

Answer 2

Ok let's do this. I have seen this problem here so many times!

Answer 3

thank you so much and im confused of where to start

Answer 4

@Firejay5 can you help to plz

Answer 5

http://www.algebra.com/algebra/homework/word/Linear_Equations_And_Systems_Word_Problems.faq.question.821614.html

Answer 6

The rate of change for a linear function is the slope of the line the coordinates create. You have 2 coordinates ussing the info they gave you. For 1000 cups (x), you have a cost (y) of 44. So the coordinates for that point are (1000, 44). For 3000 cups (x), you have a cost (y) of 118. So the coordinates for that point are (3000,118). Now you have two points and you can find the equation of the line they create from the slope.

Answer 7

Its will cost $7 just to ship it?

Answer 8

Oops. Let me step back a sec. They want to know the rate of change for the first 1000 ordered, THEN all 3000. So you actually have two things you have to do. Find the rate of change between no cups and 1000 cups, and then no cups and 3000 cups. Notice that at no cups, they still have a base cost of $7. So the 2 points for the first part of the question are (0,7) and (1000,44). Find the slope of those points. Can you do that?

Answer 9

Here, watch: