Question

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 1

How do you make a function using the information about the second delivery company?
@jim_thompson5910

Answer 2

Is it f(x) = 0.039x + 3.50?

Answer 3

close, you forgot to factor in the fact that they sell "orders at increments of 500 cups"

Answer 4

So how do i do that @jim_thompson5910

Answer 5

You have 2 rates:
500 cups = 1 increment
$0.039 = 1 cup
And another rate added on:
1 week = $3.50

Answer 6

So, f(x) = 0.039x + 3.50c? I would have to graph this too.

Answer 7

I would do $ per increment plus the weekly rate.

Answer 8

Can you show me how the function will look like?

Answer 9

I'll show you the conversion first.\[\frac{500 cups}{increment}\times\frac{$0.039}{cup}+\frac{$3.50}{week}\\\frac{500\cancel{cups}}{increment}\times\frac{$0.039}{\cancel{cup}}+\frac{$3.50}{week}\\\frac{$19.50}{increment}+\frac{$3.50}{week}\]

Answer 10

Oh I see how you perceive it. Well my function needs to consist of 0.039x or else the teacher might count it as wrong.

Answer 11

If the company has 1 customer that buys 0 cups, they will make $3.50 profit per week. The function is dependent on 2 variables, number of customers and number of increments sold. I would plot it as a function of time, profit over weeks.

Answer 12

ok...so how would i graph it?

Answer 13

Ok now I understand. Thank you so much!

Answer 14

I am pretty sure your teacher may have something different in mind. Maybe fish for another opinion to consider over mine?

Answer 15

Yeah but I'll try to combine your way and my way, and I'll see how that goes.