A microscope shows you an image of an object that is 140 times the object’s actual size. So the scale factor of the enlargement is 140. An insect has a body length of 6 millimeters. What is the body length of the insect under the microscope? A) 840 centimeters. B) 8,400 millimeters. C) 84 millimeters. D) 840 millimeters
Keywords:
Microscope, scale factor, enlargement, actual length, length to scale
For this case we have a microscope that shows an enlargement scale of objects, 140 times the actual size. Given the actual length of an insect, we want to know the scale length shown by the microscope. So, we have the following equation:
\(Length\ to\ scale = 140 * Actual\ length\)
If the insect has a \(actual\ length = 6mm\), then:
\(Length\ to\ scale = 140 * 6mm\\Length\ to\ scale = 840mm\)
Thus, the microscope will show the insect with a size of 840mm
Answer:
The body length of the insect under the microscope is 840mm
Option D