SOLUTION: You are selling cups of coffee at a sporting event. Your sales records show that when the coffee is priced at $3 per cup, you sell 650 cups. When the coffee is prices at $2.50, you

Question 316017: You are selling cups of coffee at a sporting event. Your sales records show that when the coffee is priced at $3 per cup, you sell 650 cups. When the coffee is prices at $2.50, you sell 930 cups.
Using that information, write a linear equation for the relationship between price (p) and quantity (q) sold. Your starting point is: q = mx + b, which is the slope intercept form of an equation, and using the two ordered pairs you find m and b. Make sure your answer here is an equation.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Basically, we're looking for the equation that goes through the points

and

First let's find the slope of the line through the points

and

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Divide

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 650 to both sides.

Combine like terms.

So the equation that goes through the points

and

is

Now simply replace 'x' and 'y' with 'p' and 'q' to get
RELATED QUESTIONS
You are selling cups of coffee at a sporting event. Your sales records show that when the (answered by stanbon)

A coffee shop pays Coffee Delivery Company A, a certain price for each disposable cup it... (answered by TimothyLamb)

On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup (answered by greenestamps)

the manager at a restaurant found that the cost to produce 150 cups of coffee is $21,... (answered by macston)

Two coffee jugs, A and B are filled as shown below. Jug A:5 cups of water, 5 teaspoons... (answered by addingup)

My question:Among coffee drinkers, men drank a mean of 3.2 cups per day with a standard... (answered by ewatrrr)

At Joe′s caf�, one cup of coffee and three doughnuts cost $4.20, and two cups of... (answered by jorel555)

I have been trying to solve this for days and could really use some help. Will you take... (answered by Nate)

Find the sample space S and the corresponding size n(S) for each of the random... (answered by greenestamps,ikleyn)