At Target a 24 oz bottle of ketchup sells for $2.19, and a 36 oz bottle of ketchup sells for $2.79. What is the linear equation that models the price of ketchup? What is the price of a 44 oz bottle?

1 Answer
Binayaka C.
Oct 17, 2016

The model equation is P=0.05O+0.99
The price of 44 oz bottle is $3.19

Explanation:

Let the linear equation be
24x+c=$2.19(1)
36x+c=$2.79(2)
Subtracting (1) from (2) we get 12x =0.60 or x= 0.05 :. c=2.19-(24*0.05) =2.19-1.20=0.99
So linear equation that models the price of ketchup is P=0.05O+0.99 where P is the price and O is the oz contained in the bottle.
Hence the price of the 44 oz bottle of ketchup is P=44*0.05+0.99 =2.20+0.99=$3.19[Ans]

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