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 rout. 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

Use the table to evaluate and interpret p(0). What is a possible explanation for this?


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.

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?
@Jhannybean @Compassionate @ganeshie8

Answer 1

when cups ordered is 0, they still have to pay $7. that can be explained as the weekly delivery charge.

Answer 2

Coffee Delivery B charges a baseline of $3.50 each week, plus 3.9 cents per cup. so f(x) = 3.5 + 0.039x

Answer 3

the first delivery company charges $7 as a baseline. so, going by the chart, 500 cups = $25.50, 7 of that being the baseline. so $18.50 for 500 cups, or $0.037 per cup

Answer 4

so the first company would have a function of f(x) = 7 + 0.037x

Answer 5

the coffee shop should consider using coffee delivery B when they plan on ordering less than 1500 cups. and consider using coffee delivery A when they plan on ordering more than 1500 cups.