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In real life, the Mona Lisa measures 2.5 feet by 1.75 feet. A company wants to print a scaled copy of the Mona Lisa on a notebook cover that measures 11 inches by 9 inches. What size in inches should they use for the scaled copy on the notebook cover?

A) 11 inches by 9 inches
B) 9 inches by 7.875 inches
C) 6.4 inches by 4.375 inches
D) 7.15 inches by 5.25 inches
E) The scale factor from the real painting to its copy on the notebook cover is 0.44.

User Terelle
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1 Answer

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Final answer:

To determine the scaled copy size of the Mona Lisa for a notebook cover, convert the original dimensions to inches, compare with the notebook cover, and apply the smallest scale factor to preserve the painting's proportions. The most accurate size for the notebook cover is option B) 9 inches by 7.875 inches.

Step-by-step explanation:

To determine the scaled copy size of the Mona Lisa on a notebook cover, we must first convert the actual dimensions of the painting from feet to inches since the notebook cover measures are given in inches. The Mona Lisa measures 2.5 feet by 1.75 feet. Since one foot equals 12 inches, the painting measures 30 inches (2.5 feet x 12 inches/foot) by 21 inches (1.75 feet x 12 inches/foot).

Next, we compare the dimensions of the painting to the dimensions of the notebook cover, which are 11 inches by 9 inches. To preserve the proportion of the painting, the scale factor must be the same for both dimensions. If we divide both dimensions of the notebook cover by the corresponding dimensions of the painting (in inches), we get two different scale factors: 11 inches / 30 inches = 0.3667 and 9 inches / 21 inches = 0.4286. To ensure the scaled copy will fit on the cover without distorting the image, we use the smaller scale factor.

Thus, using the smaller scale factor of 0.3667, we scale down the original painting dimensions: 30 inches x 0.3667 = 11 inches (width) and 21 inches x 0.3667 ≈ 7.7 inches (height). However, rounding up, to keep a clean number for printing, we can use 7.8 inches, which makes option B) 9 inches by 7.875 inches the most accurate size for the scaled copy on the notebook cover.

User Dimcookies
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