Question

leedle

Answer 1

Where do the two lines intersect?

Answer 2

For A: y = 0.037x + 7
For B: y = 0.039x + 3.5

Find the point of intersection:

by equating 0.037x + 7 and 0.039x + 3.5 and solving for x.

Answer 3

0.037x + 7 = 0.039x + 3.5
7 - 3.5 = .039x - .037x = .002x
.002x = 3.5
x = 1750

Answer 4

Yes when we equate two lines like that we are find a point where the y's are the same.

Answer 5

finding

Answer 6

B has a slightly steeper slope but it starts at a lower y-intercept. But up to the point of intersection, B is a better deal. After that A is better. And the point of intersection is x = 1750 cups
But if this is a continuation of the previous problem you posted then there are other considerations such as cups being ordered in sets of 500 and whether the delivery is on a weekly basis or monthly basis, etc.

Answer 7

Can you post the entire problem up to this point?

Answer 8

In the beginning we found x = 1750 is where the two lines intersect. That means until the level of cups usage of 1750 is reached company B is better. Beyond that company A is better.

So I will answer the last question like this: If the coffee shop expects that the number of cups they will need in the next 3 months will be less than1750 they should go with company B. If they expect that in the next three months the number of cups needed will be greater than or equal to 1750 they should go with company A.

The coffee shop can make this decision every 3 months based on how many cups they think they will need for the next 3 months. Company B if the projected cup consumption < 1750. Company A if the projected cup consumption >= 1750.