Question

use the given actual and magnified lengths to determine which of the following insects were looked at using the same magnifying glass (with the same scale factor)

Answer 1

Grasshoper

Actual: 2 in

Magnified: 15 in

The scale factor is given by:

`k=(15)/(2)=7.5`

Black beetle

Actual: 0.6 in

Magnified: 4.2 in

The scale factor is:

`k=(4.2)/(0.6)=7`

Honybee

Actual: 5/8 in

Magnified: 75/16 in

The scale factor is:

`k=((75)/(16))/((5)/(8))=(75\cdot8)/(16\cdot5)=(600)/(80)=(15)/(2)=7.5`

Monarch butterfly

Actual: 3.9 in

Magnified: 29.25 in

The scale factor is:

`k=(29.25)/(3.9)=(15)/(2)=7.5`

Answer:

Grasshoper, Honybee and Monarch butterfly have the same factor scale = 7.5

Black beetle has a factor scale = 7