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You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 donuts in one dozen. You determine that it costs $0.24 to make each donut. Each box costs $0.15 per square foot of cardboard. There are 144 square inches in 1 square foot. Whats an expression to model the number of donuts in b boxes?

Respuesta :

Answer:

(a)434 square inches

(b)$0.45

Explanation:

Part A

The dimensions of the new box are given below:

• Length = 15 inches

,

• Width = 11 inches

,

• Height = 2 inches

The surface area of the new box will therefore be:

[tex]\begin{gathered} \text{Total Surface Area=2(LW+LH+WH)} \\ =2(15\times11+15\times2+11\times2) \\ =2(165+30+22) \\ =2\times217 \\ =434\text{ square inches} \end{gathered}[/tex]

The surface area of the new box is 434 square inches.

Part B

[tex]\begin{gathered} 144in^2=1ft^2 \\ 434in^2=\text{xft}^2 \\ \frac{144}{1}=\frac{434}{x} \\ 144x=434 \\ x=\frac{434}{144} \\ x=3\frac{1}{72}ft^2 \end{gathered}[/tex]

The surface area of the new box in square foot is 3 1/72.

The cost of the new box per square foot = $0.15

Thus, the total cost for one new box:

[tex]\begin{gathered} =3\frac{1}{72}\times0.15 \\ =\$0.45 \end{gathered}[/tex]

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