t has been discovered in a certain state that the relationship between the number of snow shovels demanded varies linearly with its price.

When the price per item was $ 38 ,2200 items were demanded;
When the price was $ 49 , 2125 items were demanded.

Determine the price per item when 2143 snow shovels are demanded. $
Above what price will the demand be zero ? $

2 answers

treat the data as two ordered pairs, and find the linear equation

(38, 2200) and (49,2125)
slope = (2125-2200)/(49-38) = -75/11

so s - 2200 = (-75/11)(p-38)

11s - 24200 = -75p + 2850
11s + 75p = 27050

when s = 2143,
11(2143) + 75p = 27050
75p = 3477
p = $46.36

when s = 0
0 + 75p = 27050
p = $360.67
thank you so much!!!