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)

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 class=

Respuesta :

Grasshoper

Actual: 2 in

Magnified: 15 in

The scale factor is given by:

[tex]k=\frac{15}{2}=7.5[/tex]

Black beetle

Actual: 0.6 in

Magnified: 4.2 in

The scale factor is:

[tex]k=\frac{4.2}{0.6}=7[/tex]

Honybee

Actual: 5/8 in

Magnified: 75/16 in

The scale factor is:

[tex]k=\frac{\frac{75}{16}}{\frac{5}{8}}=\frac{75\cdot8}{16\cdot5}=\frac{600}{80}=\frac{15}{2}=7.5[/tex]

Monarch butterfly

Actual: 3.9 in

Magnified: 29.25 in

The scale factor is:

[tex]k=\frac{29.25}{3.9}=\frac{15}{2}=7.5[/tex]

Answer:

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

Black beetle has a factor scale = 7