Question

Freezer A has interior dimensions of 1 foot by 1 foot by 5 feet and sells for $499,99. Freezer B has interior dimensions of 1.5 feet by 1.5 feet by 4 feet and sells for 849.99. Which freezer is a better buy in terms of dollars per cubic foot ? Explain.

Answer 1

Dimensions of freezer A is 1 foot by 1 foot by 5 foot.

Therefore, the volume of the freezer A is

`\begin{gathered} V_A=1*1*5 \\ =5\text{ cubic foot} \end{gathered}`

The prize of freezer A per cubic foot is

`(499.99)/(5)=99.998\text{ dollars}`

Dimensions of the freezer B is 1.5 feet by 1.5 feet by 4 feet.

Therefore, the volume of the freezer B is

`\begin{gathered} V_B=1.5*1.5*4 \\ =9\text{ cubic f}eet \end{gathered}`

The prize of the freezer B er cubic foot is

`(849.99)/(9)=94.44\text{ dollars}`

Since, the price of freezer B per cubic foot is lower than that of the freezer A, therefore, freezer B is a better buy.