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
Oct 17, 2016

Answer:

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]