Question

Mateo is studying a human hair with a diameter of 6.5 x 10-4 inches and a horse hair with a diameter of 1.3 x 10-3 inches. Which statement is true?

Answer 1

The horse hair is 2 times as thick as the human hair.

Answer 2

The diameter of horse hair is twice as thick as the diameter of the human hair.

Explanation:

The diameter of a human hair =
`6.5* 10^(-4)\ \inches`

The diameter of a horse hair =
`1.3* 10^(-3)\ \inches`

Dividing the diameter of a horse hair to the diameter of a human hair as follows :

`\frac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=(6.5* 10^(-4))/(1.3* 10^(-3))\\\\\frac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=(1)/(2)\\\\\text{Diameter of horse hair}=2* \text{Diameter of human hair}`

So, the diameter of horse hair is twice as thick as the diameter of the human hair.