SOLUTION: mary has a hamburger stand in town. she says there is a linear relationship between the price (P) of hamburgers and number sold (X) i.e. x= ap+b. at N$10 she sells 1360 hamburgers

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: mary has a hamburger stand in town. she says there is a linear relationship between the price (P) of hamburgers and number sold (X) i.e. x= ap+b. at N$10 she sells 1360 hamburgers       Log On


   

Question 1073283: mary has a hamburger stand in town. she says there is a linear relationship between the price (P) of hamburgers and number sold (X) i.e. x= ap+b. at N$10 she sells 1360 hamburgers per month, but only 510 when she doubles the price.
(a) Find a and b
(b) how many hamburgers will be sold of at N$16
(c) What price will ensure sales of 1000 hamburgers
(d) what is the maximum possible price
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x=ap%2Bb
x, number sold
p, price

Points might be thought order pairs, (p,x).

The description using that form of equation gives this system:
system%2810a%2Bb=1360%2C20a%2Bb=510%29


Simplify and solve for a and b.