Question

An optometrist dilates the pupils of a patient’s eyes to get a better look at the back of the eyes. a pupil dilates from 4.5 millimeters to 8 millimeters. what is the scale factor of this dilation?

Answer 1

The scale factor of the dilation of a pupil from 4.5 mm to 8 mm is approximately 1.778.

Step-by-step explanation:

An optometrist dilates a patient’s pupils to better examine the retina and other structures at the back of the eye. In the question, a pupil dilates from 4.5 millimeters to 8 millimeters.

The scale factor of this dilation is calculated by dividing the size of the image (the dilated pupil size) by the size of the pre-image (the original pupil size). The formula to find the scale factor (k) is k = image / pre-image. Therefore:

k = 8 mm / 4.5 mm

k = 1.777... (repeating)

To simplify the answer, we can round to a reasonable number of decimal places. Let's round to three decimal places:

k ≈ 1.778

So, the scale factor of the dilation of the pupil from 4.5 mm to 8 mm is approximately 1.778.