Answer:
The scale factor of Roxi's model is 5:24 ( ≅ 0.21).
Step-by-step explanation:
A scale factor can be used to either enlarge or reduce the size of an object.
scale factor = [tex]\frac{reduced length}{actual length}[/tex]
Since 1 feet = 12 inches, then for the actual swing set;
length = 15 feet = 15 x 12 = 180 inches
height = 10 feet = 10 x 12 = 120 inches
width = 8.5 feet = 8.5 x 12 = 102 inches
For Roxi's crafts swing set;
length = 37.5 inches
height = 25 inches
width = 21.25 inches
i. Comparing the actual length with the length of Roxi's model.
scale factor of Roxi's model = [tex]\frac{37.5}{180}[/tex]
= [tex]\frac{5}{24}[/tex]
ii. Comparing the actual height with the height of Roxi's model.
scale factor of Roxi's model = [tex]\frac{25}{120}[/tex]
= [tex]\frac{5}{24}[/tex]
iii. Comparing the actual width with the width of Roxi's model.
scale factor of Roxi's model = [tex]\frac{21.25}{102}[/tex]
= [tex]\frac{5}{24}[/tex]
Therefore, the scale factor of Roxi's model is 5:24 ( ≅ 0.21).
