SOLUTION: Mary has a hamburger stand in town. She says there is a linear relationship between the price (p) of hamburgers and the number sold (x) i.e. 𝒙=𝒂𝒑+𝒃.
Question 1123746: Mary has a hamburger stand in town. She says there is a linear relationship between the price (p) of hamburgers and the 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 at N$16?
(c) What price will ensure sales of 1020 hamburgers?
(d) What is the maximum possible price?
Points might be thought order pairs, (,).
The description using that form of equation gives this system: ....eq.1 .....eq.2
----------------------------------------------
a) Find and
Simplify and solve for and.
....eq.1 .....eq.2
----------------------------------------------subtract eq.1 from rq.2
substitute it in eq.1 and find ....eq.1
so, your equation is:
(b) How many hamburgers will be sold at N$?
(c) What price will ensure sales of hamburgers?
(d) What is the maximum possible price?
find out what price will sell hamburgers
-> the maximum possible price
if you want to sell something, the maximum possible price be less than $
if we go with $, we will get
the maximum possible price of $ will result in sold
