Respuesta :
Scale factor is the ratio of representation measurement of the figure to the original figures.
The actual distance between these two exhibits is 125 feet. Thus the option 2 is the correct option.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Given information-
The distance between the two water fountains is 10 inches on the scale drawing of the museum.
The actual distance between the two water fountains is 400 inches.
The distance between two exhibits is 3.125 inches on the same scale drawing of the museum.
The scale factor of the distance of water museum in the drawing to the actual distance is,
[tex]r=\dfrac{10}{400} \\r=\dfrac{1}{40}[/tex]
Thus the scale factor of the distance of water museum in the drawing to the actual distance is 1/40.
As the the distance between two exhibits is measured on the same scale of drawing. Thus the scale factor in this case also be same.
Let the actual distance between these two exhibits is x feet. Thus,
[tex]\dfrac{1}{40} =\dfrac{3.125}{x}\\x=125\rm ft[/tex]
Hence, the actual distance between these two exhibits is 125 feet. Thus the option 2 is the correct option.
Learn more about the scale factor here;
https://brainly.com/question/10253650
