Question

Consider this picture an artist painted of a dollhouse. The height of the picture of the dollhouse is 6.80 inches. The height of the actual dollhouse is 102 inches.
Enter the scale factor applied to the picture to obtain the height of the actual dollhouse.

Answer 1

The actual house was diminished by a factor of 0.0667

Dilation and scale factors

Given the following from the information

• The height of the picture of the dollhouse = 6.80in
• The height of the actual dollhouse is 102 inches

Required

• Scale factor applied

The scale factor is the ratio of the actual height to the final height

$k = \frac{h}{H}\\ k=\frac{6.8}{102}\\ k=0.0667$

This shows that the actual house was diminished by a factor of 0.0667

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