Question

An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approximate scale factor of the model?

A. 1/20
B. 1/10
C. 10
D. 20

Answer 1

Option B is the correct answer.

Explanation:

An anatomy model of an adult human is 7 inches tall.

Height of anatomy model = 7 inch

Most adult humans are between 5 feet and 6 feet tall.

Average height of human = 5.5 feet = 5.5 x 12 = 66 inches

`\texttt{Scale factor=}\frac{\texttt{Height of anatomy model}}{\texttt{Average height of human}}=(7)/(66)\\\\\texttt{Scale factor}\approx (7)/(70)=(1)/(10)`

Option B is the correct answer.

Answer 2

B

Explanation:

There are 12 inches in 1 feet, so

5 feet = 5 * 12 = 60 inch

6 feet = 6 * 12 = 72 inch

So, we can say most adult humans are between 60 to 72 inches tall

The model is 7 inches tall. So, from the answer choices, 7 * 10 = 70 [the number that is in between 60 to 72]. Thus we can take the model to be 1/10th of the original.

So the scale factor is 1/10, or option B