# 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?

The model equation is $P = 0.05 O + 0.99$
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 $12 x = 0.60 \mathmr{and} x = 0.05 \therefore c = 2.19 - \left(24 \cdot 0.05\right) = 2.19 - 1.20 = 0.99$So linear equation that models the price of ketchup is $P = 0.05 O + 0.99$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]