It 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

snowshovels=k*price + constant
2200=k*38 +constant
2125=k*49 +constant
subtract second from first
75=-k*9 k=-75/9
Now find the constant
2200=(-75/9)38 + constant
constant=2200+316.68

2143=(-75/9)P+2516.68
solve for price
thank you
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