Posted by **Stephanie** on Monday, January 19, 2009 at 11:36am.

Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cupes. But when you raise your price to $2 you only sell 25 cups. Write an equation for the nuber of cups you sell as a function of the price you charge. Denote "C" for number of cups and "p" for the price you charge. Assume the function is linear.

- Math -
**Damon**, Monday, January 19, 2009 at 12:43pm
c = m p + b

50 = m (1) + b

25 = m(2) + b

------------- subtract

25 = - m

m = -25 the slope

then

25 = -25 (2) + b

75 = b the intercept with cup axis

so

c = -25 p + 75

so if I charged nothing, I would give away 75 cups

and if I charged three, I would sell none :)

## Answer this Question

## Related Questions

- MAT101 - 6. Suppose you have a lemonade stand, and when you charge $2 per cup of...
- MAT101 - 6. Suppose you have a lemonade stand, and when you charge $2 per cup of...
- Math - Carolyn and Kim are selling lemonade this summer. It costs 10 cents to ...
- Math - Carolyn and Kim are selling lemonade this summer. It costs 10 cents to ...
- MATH - Carolyn and Kim are selling lemonade this summer. It costs $0.10...
- Math (ASAP) - Carolyn and Kim are selling lemonade this summer. *It ...
- MATH - Carolyn and Kim are selling lemonade this summer. It costs $0.10...
- math - people flock to andys lemonade stand because each cup of lemonade is only...
- Algebra 1 - The debate team needs $240.00 to attend a debate tournament. The ...
- Informal Logic - <11{7[2(03)79]}> Looking to increase the profits of his ...